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Rigidity Aspects of Penroseâs Singularity Theorem
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2025
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Gregory J. Galloway
Eric Ling
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PDF
Chat
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A CMC existence result for expanding cosmological spacetimes
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2024
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Gregory J. Galloway
Eric Ling
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+
PDF
Chat
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Mean Curvature, Singularities and Time Functions in Cosmology
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2024
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Gregory J. Galloway
Leonardo GarcĂa-Heveling
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+
PDF
Chat
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Aspects of the geometry and topology of expanding horizons
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2024
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Gregory J. Galloway
AbraĂŁo Mendes
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+
PDF
Chat
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Rigidity aspects of Penrose's singularity theorem
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2024
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Gregory J. Galloway
Eric Ling
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+
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Remarks on the size of apparent horizons
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2023
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Gregory J. Galloway
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+
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Marginally Outer Trapped Surfaces and Scalar Curvature Rigidity
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2023
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Gregory J. Galloway
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+
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Some rigidity results for compact initial data sets
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2023
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Gregory J. Galloway
AbraĂŁo Mendes
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+
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A note on null distance and causality encoding
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2023
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Gregory J. Galloway
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+
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Remarks on the size of apparent horizons
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2023
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Gregory J. Galloway
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+
PDF
Chat
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The codimension 2 null cut locus with applications to spacetime topology
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2022
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Gregory J. Galloway
Eric Ling
|
+
PDF
Chat
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The topology of general cosmological models*
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2022
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Gregory J. Galloway
Marcus Khuri
Eric Woolgar
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+
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The codimension 2 null cut locus with applications to spacetime topology
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2022
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Gregory J. Galloway
Eric Ling
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+
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Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime
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2022
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Piotr T. ChruĆciel
Gregory J. Galloway
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PDF
Chat
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Remarks on the Existence of CMC Cauchy Surfaces
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2022
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Gregory J. Galloway
Eric Ling
|
+
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Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
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2021
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Piotr T. ChruĆciel
Gregory J. Galloway
|
+
PDF
Chat
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A note on the positive mass theorem with boundary
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2021
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Gregory J. Galloway
Dan A. Lee
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+
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Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
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2021
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Piotr T. ChruĆciel
Gregory J. Galloway
|
+
PDF
Chat
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A BakryâĂmery Almost Splitting Result With Applications to the Topology of Black Holes
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2021
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Gregory J. Galloway
Marcus Khuri
Eric Woolgar
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+
PDF
Chat
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Photon surfaces with equipotential time slices
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2021
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Carla Cederbaum
Gregory J. Galloway
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PDF
Chat
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Initial Data Rigidity Results
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2021
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Michael Eichmair
Gregory J. Galloway
AbraĂŁo Mendes
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+
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Remarks on the existence of CMC Cauchy surfaces
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2021
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Gregory J. Galloway
Eric Ling
|
+
PDF
Chat
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A Conformal Infinity Approach to Asymptotically $$\text {AdS}_2\times S^{n-1}$$ Spacetimes
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2020
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Gregory J. Galloway
Melanie Graf
Eric Ling
|
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PDF
Chat
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Uniqueness and energy bounds for static AdS metrics
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2020
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Piotr T. ChruĆciel
Gregory J. Galloway
Yohan Potaux
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+
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The Topology of General Cosmological Models
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2020
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Gregory J. Galloway
Marcus Khuri
Eric Woolgar
|
+
PDF
Chat
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Some scalar curvature warped product splitting theorems
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2019
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Gregory J. Galloway
Hyun Chul Jang
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+
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Some scalar curvature warped product splitting theorems
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2019
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Gregory J. Galloway
Hyun Chul Jang
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+
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Existence of CMC Cauchy surfaces and spacetime splitting
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2019
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Gregory J. Galloway
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+
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Roads to topological censorship
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2019
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Piotr T. ChruĆciel
Gregory J. Galloway
|
+
PDF
Chat
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Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes
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2019
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Gregory J. Galloway
Melanie Graf
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+
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Some scalar curvature warped product splitting theorems
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2019
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Gregory J. Galloway
Hyun Chul Jang
|
+
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Existence of CMC Cauchy surfaces and spacetime splitting
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2019
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Gregory J. Galloway
|
+
PDF
Chat
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Existence of CMC Cauchy surfaces from a spacetime curvature condition
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2018
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Gregory J. Galloway
Eric Ling
|
+
PDF
Chat
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On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
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2018
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Piotr T. ChruĆciel
Gregory J. Galloway
Luc Nguyen
Tim-Torben Paetz
|
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PDF
Chat
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Weakly trapped surfaces in asymptotically de Sitter spacetimes
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2018
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Piotr T. ChruĆciel
Gregory J. Galloway
Eric Ling
|
+
PDF
Chat
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Rigidity in vacuum under conformal symmetry
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2018
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Gregory J. Galloway
Carlos Vega
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+
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Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes
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2018
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Gregory J. Galloway
Melanie Graf
|
+
PDF
Chat
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Rigidity of outermost MOTS: the initial data version
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2018
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Gregory J. Galloway
|
+
PDF
Chat
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On the geometry and topology of initial data sets with horizons
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2018
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Lars Andersson
Mattias Dahl
Gregory J. Galloway
Daniel Pollack
|
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PDF
Chat
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Rigidity of marginally outer trapped $2$-spheres
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2018
|
Gregory J. Galloway
AbraĂŁo Mendes
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+
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Rigidity of asymptotically $AdS_2 \times S^2$ spacetimes
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2018
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Gregory J. Galloway
Melanie Graf
|
+
PDF
Chat
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Topology and Singularities in Cosmological Spacetimes Obeying the Null Energy Condition
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2017
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Gregory J. Galloway
Eric Ling
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+
PDF
Chat
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Timelike Completeness as an Obstruction to C 0-Extensions
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2017
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Gregory J. Galloway
Eric Ling
Jan Sbierski
|
+
PDF
Chat
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Some Remarks on the $$C^0$$ C 0 -(In)Extendibility of Spacetimes
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2017
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Gregory J. Galloway
Eric Ling
|
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PDF
Chat
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Hausdorff Closed Limits and Rigidity in Lorentzian Geometry
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2017
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Gregory J. Galloway
Carlos Vega
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+
PDF
Chat
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Variational and rigidity properties of static potentials
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2017
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Gregory J. Galloway
Pengzi Miao
|
+
PDF
Chat
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Uniqueness of photon spheres via positive mass rigidity
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2017
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Carla Cederbaum
Gregory J. Galloway
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PDF
Chat
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Uniqueness of photon spheres in electro-vacuum spacetimes
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2016
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Carla Cederbaum
Gregory J. Galloway
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On the geometry and topology of initial data sets with horizons
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2015
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Lars Andersson
Mattias Dahl
Gregory J. Galloway
Daniel Pollack
|
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PDF
Chat
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On static Poincaré-Einstein metrics
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2015
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Gregory J. Galloway
Eric Woolgar
|
+
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Uniqueness of photon spheres via positive mass rigidity
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2015
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Carla Cederbaum
Gregory J. Galloway
|
+
PDF
Chat
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On the Topology of Initial Data Sets with Higher Genus Ends
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2015
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Kenneth L. Baker
Gregory J. Galloway
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+
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On static Poincaré-Einstein metrics
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2015
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Gregory J. Galloway
Eric Woolgar
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+
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On static Poincar\'e-Einstein metrics
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2015
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Gregory J. Galloway
Eric Woolgar
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+
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A note on the rigidity of marginally outer trapped 2-spheres
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2015
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Gregory J. Galloway
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+
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On static Poincaré-Einstein metrics
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2015
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Gregory J. Galloway
Eric Woolgar
|
+
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Rigidity of marginally outer trapped 2-spheres
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2015
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Gregory J. Galloway
Abraao Mendes
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+
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Uniqueness of photon spheres via positive mass rigidity
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2015
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Carla Cederbaum
Gregory J. Galloway
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+
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Cosmological singularities in BakryâĂmery spacetimes
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2014
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Gregory J. Galloway
Eric Woolgar
|
+
PDF
Chat
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Outer trapped surfaces are dense near MOTSs
|
2014
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Piotr T. ChruĆciel
Gregory J. Galloway
|
+
PDF
Chat
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Achronal Limits, Lorentzian Spheres, and Splitting
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2014
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Gregory J. Galloway
Carlos Vega
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+
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Variational and rigidity properties of static potentials
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2014
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Gregory J. Galloway
Pengzi Miao
|
+
PDF
Chat
|
Topological censorship from the initial data point of view
|
2013
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Michael Eichmair
Gregory J. Galloway
Daniel Pollack
|
+
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Achronal limits, Lorentzian spheres, and splitting
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2012
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Gregory J. Galloway
Carlos Vega
|
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PDF
Chat
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Constraints on the topology of higher-dimensional black holes
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2012
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Gregory J. Galloway
|
+
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Topological censorship from the initial data point of view
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2012
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Michael Eichmair
Gregory J. Galloway
Daniel Pollack
|
+
PDF
Chat
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Nonexistence of Marginally Trapped Surfaces and Geons in 2 + 1 Gravity
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2012
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Gregory J. Galloway
Kristin Schleich
Donald Witt
|
+
PDF
Chat
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Black Holes in Higher Dimensions: Constraints on the topology of higher-dimensional black holes
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2012
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Gregory J. Galloway
|
+
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Topological censorship from the initial data point of view
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2012
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Michael Eichmair
Gregory J. Galloway
Daniel Pollack
|
+
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Achronal limits, Lorentzian spheres, and splitting
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2012
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Gregory J. Galloway
Carlos Vega
|
+
PDF
Chat
|
Singularity theorems assuming trapped submanifolds of arbitrary dimension
|
2011
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Gregory J. Galloway
José M. M. Senovilla
|
+
PDF
Chat
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Singularity theorems from weakened energy conditions
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2011
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Christopher J. Fewster
Gregory J. Galloway
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+
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Stability and rigidity of extremal surfaces in Riemannian geometry and General Relativity
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2011
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Gregory J. Galloway
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+
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Constraints on the topology of higher dimensional black holes
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2011
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Gregory J. Galloway
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+
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Singularity theorems based on trapped submanifolds of arbitrary co-dimension
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2010
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Gregory J. Galloway
José M. M. Senovilla
|
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PDF
Chat
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Uniqueness of static black holes without analyticity
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2010
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Piotr T. ChruĆciel
Gregory J. Galloway
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+
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Mathematical general relativity: a sampler
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2010
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Piotr T. ChruĆciel
Gregory J. Galloway
Daniel Pollack
|
+
PDF
Chat
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Mathematical general relativity: A sampler
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2010
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Piotr T. ChruĆciel
Gregory J. Galloway
Daniel Pollack
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+
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Mathematical general relativity: a sampler
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2010
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Piotr T. ChruĆciel
Gregory J. Galloway
Daniel Pollack
|
+
PDF
Chat
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Topological Censorship for KaluzaâKlein Space-Times
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2009
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Piotr T. ChruĆciel
Gregory J. Galloway
Didier A. Solis
|
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PDF
Chat
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Topological censorship for Kaluza-Klein space-times
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2008
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Piotr T. ChruĆciel
Gregory J. Galloway
Didier A. Solis
|
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PDF
Chat
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Some remarks on the size of bodies and black holes
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2008
|
Gregory J. Galloway
Niall Ă Murchadha
|
+
PDF
Chat
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Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
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2008
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Lars Andersson
Mingliang Cai
Gregory J. Galloway
|
+
PDF
Chat
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Rigidity of marginally trapped surfaces and the topology of black holes
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2008
|
Gregory J. Galloway
|
+
PDF
Chat
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Uniqueness of de Sitter space
|
2007
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Gregory J. Galloway
Didier A. Solis
|
+
PDF
Chat
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A Generalization of Hawkingâs Black Hole Topology Theorem to Higher Dimensions
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2006
|
Gregory J. Galloway
Richard Schoen
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+
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Rigidity of marginally trapped surfaces and the topology of black holes
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2006
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Gregory J. Galloway
|
+
PDF
Chat
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Some uniqueness results for dynamical horizons
|
2005
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Abhay Ashtekar
Gregory J. Galloway
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+
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Some uniqueness results for dynamical horizons
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2005
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Abhay Ashtekar
Gregory J. Galloway
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+
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Cosmological Spacetimes with $\Lambda > 0$
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2004
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Gregory J. Galloway
|
+
PDF
Chat
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A poor man's positive energy theorem
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2004
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Piotr T Chru ciel
Gregory J. Galloway
|
+
PDF
Chat
|
Cosmological spacetimes with Î&đđĄ;0
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2004
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Gregory J. Galloway
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+
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Cosmological Spacetimes with $Î> 0$
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2004
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Gregory J. Galloway
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+
PDF
Chat
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On the Geometry and Mass of Static, Asymptotically AdS Spacetimes, and the Uniqueness of the AdS Soliton
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2003
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Gregory J. Galloway
Sumati Surya
Eric Woolgar
|
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PDF
Chat
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Non-existence of black holes in certain < 0 spacetimes
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2003
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Gregory J. Galloway
Sumati Surya
Eric Woolgar
|
+
PDF
Chat
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A Uniqueness Theorem for the Antiâde Sitter Soliton
|
2002
|
Gregory J. Galloway
Sumati Surya
Eric Woolgar
|
+
PDF
Chat
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On fine differentiability properties of horizons and applications to Riemannian geometry
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2002
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Piotr T. ChruĆciel
Joseph H. G. Fu
Gregory J. Galloway
Ralph Howard
|
+
PDF
Chat
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Some Global Results for Asymptotically Simple Space-Times
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2002
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Gregory J. Galloway
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+
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dS/CFT and spacetime topology
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2002
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Lars Andersson
Gregory J. Galloway
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+
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Some global results for asymptotically simple spacetimes
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2002
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Gregory J. Galloway
|
+
PDF
Chat
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On the topology and area of higher-dimensional black holes
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2001
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Mingliang Cai
Gregory J. Galloway
|
+
PDF
Chat
|
The AdS/CFT correspondence and topological censorship
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2001
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Gregory J. Galloway
Kristin Schleich
Donald Witt
Eric Woolgar
|
+
PDF
Chat
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Maximum Principles for Null Hypersurfaces and Null Splitting Theorems
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2000
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Gregory J. Galloway
|
+
PDF
Chat
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Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature
|
2000
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Mingliang Cai
Gregory J. Galloway
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+
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Boundaries of Zero Scalar Curvature in the AdS/CFT Correspondence
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2000
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Mingliang Cai
Gregory J. Galloway
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+
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Regularity of Horizons and The Area Theorem
|
2000
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Piotr T. ChruĆciel
Erwann Delay
Gregory J. Galloway
Ralph Howard
|
+
PDF
Chat
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Topological censorship and higher genus black holes
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1999
|
Gregory J. Galloway
Kristin Schleich
Donald Witt
Eric Woolgar
|
+
PDF
Chat
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Boundaries of zero scalar curvature in the $\mathrm{AdS}$/$\mathrm{CFT}$ correspondence
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1999
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Mingliang Cai
Gregory J. Galloway
|
+
PDF
Chat
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A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry
|
1998
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Lars Andersson
Gregory J. Galloway
Ralph Howard
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+
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A strong maximum principle for weak solutions of quasiâlinear elliptic equations with applications to Lorentzian and Riemannian geometry
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1998
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Lars Andersson
Gregory J. Galloway
Ralph Howard
|
+
PDF
Chat
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Horizons Non-Differentiable on a Dense Set
|
1998
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Piotr T. ChruĆciel
Gregory J. Galloway
|
+
PDF
Chat
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The cosmological time function
|
1998
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Lars Andersson
Gregory J. Galloway
Ralph Howard
|
+
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A Strong Maximum Principle for Weak Solutions of Quasi-Linear Elliptic Equations with Applications to Lorentzian and Riemannian Geometry
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1997
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Lars Andersson
Gregory J. Galloway
Ralph Howard
|
+
PDF
Chat
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The cosmic censor forbids naked topology
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1997
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Gregory J. Galloway
Eric Woolgar
|
+
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A Strong Maximum Principle for Weak Solutions of Quasi-Linear Elliptic Equations with Applications to Lorentzian and Riemannian Geometry
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1997
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Lars Andersson
Gregory J. Galloway
Ralph Howard
|
+
PDF
Chat
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Some rigidity results for spatially closed spacetimes
|
1997
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Gregory J. Galloway
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+
PDF
Chat
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``Nowhere'' differentiable horizons
|
1996
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Piotr T. ChruĆciel
Gregory J. Galloway
|
+
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Least area tori and 3-manifolds of nonnegative scalar curvature
|
1996
|
Mingliang Cai
Gregory J. Galloway
|
+
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Least area tori and 3-manifolds of nonnegative scalar curvature
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1996
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Mingliang Cai
Gregory J. Galloway
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+
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A `finite infinity' version of topological censorship
|
1996
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Gregory J. Galloway
|
+
PDF
Chat
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Regularity of Lorentzian Busemann Functions
|
1996
|
Gregory J. Galloway
Arnaldo Horta
|
+
PDF
Chat
|
Local splitting theorems for Riemannian manifolds
|
1994
|
Mingkun Cai
Gregory J. Galloway
Z. Liu
|
+
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Least area tori, black holes and topological censorship
|
1994
|
Gregory J. Galloway
|
+
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The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity
|
1993
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Gregory J. Galloway
|
+
PDF
Chat
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The Lorentzian splitting theorem without the completeness assumption
|
1989
|
Gregory J. Galloway
|
+
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Some connections between global hyperbolicity and geodesic completeness
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1989
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Gregory J. Galloway
|
+
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Space-time splitting theorems
|
1989
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Gregory J. Galloway
|
+
PDF
Chat
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A note on the fundamental group of a compact minimal hypersurface
|
1987
|
Gregory J. Galloway
|
+
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A generalization of the Cheeger-Gromoll splitting theorem
|
1986
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Gregory J. Galloway
|
+
PDF
Chat
|
Compact Lorentzian Manifolds Without Closed Nonspacelike Geodesics
|
1986
|
Gregory J. Galloway
|
+
PDF
Chat
|
Compact Lorentzian manifolds without closed nonspacelike geodesics
|
1986
|
Gregory J. Galloway
|
+
PDF
Chat
|
Some results on Cauchy surface criteria in Lorentzian geometry
|
1985
|
Gregory J. Galloway
|
+
PDF
Chat
|
Decomposition theorems for Lorentzian manifolds with nonpositive curvature
|
1985
|
John K. Beem
Paul E. Ehrlich
Steen Markvorsen
Gregory J. Galloway
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+
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A Toponogov splitting theorem for Lorentzian manifolds
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1985
|
John K. Beem
Paul E. Ehrlich
Steen Markvorsen
Gregory J. Galloway
|
+
PDF
Chat
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Splitting theorems for spatially closed space-times
|
1984
|
Gregory J. Galloway
|
+
PDF
Chat
|
Closed Timelike Geodesics
|
1984
|
Gregory J. Galloway
|
+
PDF
Chat
|
Closed timelike geodesics
|
1984
|
Gregory J. Galloway
|
+
PDF
Chat
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Correction to: Stable minimal surfaces and spatial topology in general relativity
|
1983
|
Theodore Frankel
Gregory J. Galloway
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+
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Minimal surfaces, spatial topology and singularities in space-time
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1983
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Gregory J. Galloway
|
+
PDF
Chat
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Book Review: Global Lorentzian geometry
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1982
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Gregory J. Galloway
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+
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Stable minimal surfaces and spatial topology in general relativity
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1982
|
Theodore Frankel
Gregory J. Galloway
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+
PDF
Chat
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Compactness criteria for Riemannian manifolds
|
1982
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Gregory J. Galloway
|
+
PDF
Chat
|
Compactness Criteria for Riemannian Manifolds
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1982
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Gregory J. Galloway
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+
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Some results on the occurrence of compact minimal submanifolds
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1981
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Gregory J. Galloway
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+
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On the topology of Wheeler universes
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1980
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Gregory J. Galloway
|