Felix Rott

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All published works

Action	Title	Year	Authors
+	Alexandrov’s Patchwork and the Bonnet-Myers Theorem for Lorentzian length spaces	2024	Tobias Beran Lewis Napper Felix Rott
+ PDF Chat	A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes	2024	Tobias Beran Mathias Braun Matteo Calisti Nicola Gigli Robert J. McCann Argam Ohanyan Felix Rott Clemens Sämann
+ PDF Chat	The equivalence of smooth and synthetic notions of timelike sectional curvature bounds	2024	Tobias Beran Michael Kunzinger Argam Ohanyan Felix Rott
+	On curvature bounds in Lorentzian length spaces	2024	Tobias Beran Michael Kunzinger Felix Rott
+ PDF Chat	The equivalence of smooth and synthetic notions of timelike sectional curvature bounds	2024	Tobias Beran Michael Kunzinger Argam Ohanyan Felix Rott
+ PDF Chat	Gluing of Lorentzian length spaces and the causal ladder	2023	Felix Rott
+ PDF Chat	The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature	2023	Tobias Beran Argam Ohanyan Felix Rott Didier A. Solis
+ PDF Chat	Gluing constructions for Lorentzian length spaces	2023	Tobias Beran Felix Rott
+	Alexandrov's Patchwork and the Bonnet-Myers Theorem for Lorentzian length spaces	2023	Tobias Beran Lewis Napper Felix Rott
+	On curvature bounds in Lorentzian length spaces	2023	Tobias Beran Michael Kunzinger Felix Rott
+	A Toponogov globalisation result for Lorentzian length spaces	2023	Tobias Beran John Harvey Lewis Napper Felix Rott
+	Characterizing intrinsic Lorentzian length spaces via $τ$-midpoints	2023	Tobias Beran Felix Rott
+	Gluing constructions for Lorentzian length spaces	2022	Tobias Beran Felix Rott
+	Gluing of Lorentzian length spaces and the causal ladder	2022	Felix Rott
+	The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature	2022	Tobias Beran Argam Ohanyan Felix Rott Didier A. Solis

Common Coauthors

Coauthor	Papers Together
Tobias Beran	7
Tobias Beran	6
Argam Ohanyan	5
Michael Kunzinger	4
Lewis Napper	3
Didier A. Solis	2
Mathias Braun	1
Nicola Gigli	1
Robert J. McCann	1
John Harvey	1
Clemens Sämann	1
Matteo Calisti	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Null Distance and Convergence of Lorentzian Length Spaces	2022	Michael Kunzinger Roland Steinbauer	5
+ PDF Chat	On the causal hierarchy of Lorentzian length spaces	2020	Luis Aké Hau Armando J. Cabrera Pacheco Didier A. Solis	5
+ PDF Chat	Inextendibility of spacetimes and Lorentzian length spaces	2018	James D. E. Grant Michael Kunzinger Clemens Sämann	5
+ PDF Chat	Lorentzian length spaces	2018	Michael Kunzinger Clemens Sämann	5
+ PDF Chat	A Lorentzian analog for Hausdorff dimension and measure	2022	Robert J. McCann Clemens Sämann	4
+ PDF Chat	Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds	2008	Stephanie Alexander Richard L. Bishop	4
+ PDF Chat	Null distance on a spacetime	2016	Christina Sormani Carlos Vega	3
+ PDF Chat	Comparison theorems for Lorentzian length spaces with lower timelike curvature bounds	2022	Waldemar Barrera Luis Montes de Didier A. Solis	3
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	3
+ PDF Chat	Exact geodesic distances in FLRW spacetimes	2017	William J. Cunningham David Rideout James Halverson Dmitri Krioukov	3
+	Time functions on Lorentzian length spaces	2021	Annegret Burtscher Leonardo García-Heveling	3
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	3
+	A.D. Alexandrov spaces with curvature bounded below	1992	Yu. D. Burago M. Gromov G. Perelman	2
+	Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications	2020	Fabio Cavalletti Andrea Mondino	2
+	Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems	2019	Stephanie Alexander Melanie Graf Michael Kunzinger Clemens Sämann	2
+ PDF Chat	The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature	2023	Tobias Beran Argam Ohanyan Felix Rott Didier A. Solis	2
+ PDF Chat	Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds	2023	Tobias Beran Clemens Sämann	2
+	Uniform Estimates on the Number of Collisions in Semi-Dispersing Billiards	1998	Dmitri Burago S. Ferleger А. Кононенко	2
+	A generalization of the Cheeger-Gromoll splitting theorem	1986	Gregory J. Galloway	1
+	A splitting theorem for the weighted measure	2011	Lin Feng Wang	1
+ PDF Chat	A cone splitting theorem for Alexandrov spaces	2005	Stephanie Alexander Richard L. Bishop	1
+	Dependence of solutions on boundary conditions for second order ordinary differential equations	1970	Gene A. Klaasen	1
+	? K -convex functions on metric spaces	2003	Stephanie Alexander Richard L. Bishop	1
+	A Toponogov splitting theorem for Lorentzian manifolds	1985	John K. Beem Paul E. Ehrlich Steen Markvorsen Gregory J. Galloway	1
+ PDF Chat	On the Structure of Complete Manifolds of Nonnegative Curvature	1972	Jeff Cheeger Detlef Gromoll	1
+	SEMI-RIEMANNIAN GEOMETRY With Applications to Relativity	1984	M. A. H. MacCallum	1
+	Invitation to Alexandrov geometry: CAT[0] spaces	2017	Stephanie Alexander Vitali Kapovitch Anton Petrunin	1
+	An optimal transport formulation of the Einstein equations of general relativity	2022	Andrea Mondino Stefan Suhr	1
+ PDF Chat	Cut-and-paste for impulsive gravitational waves with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Λ</mml:mi></mml:math> : The geometric picture	2019	Jiř̌í Podolský Clemens Sämann Roland Steinbauer Robert Švarc	1
+ PDF Chat	The $C_0$-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry	2018	Jan Sbierski	1
+ PDF Chat	Existence of CMC Cauchy surfaces and spacetime splitting	2019	Greg Galloway	1
+ PDF Chat	Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications	2024	Fabio Cavalletti Andrea Mondino	1
+ PDF Chat	Causality theory for closed cone structures with applications	2018	E. Minguzzi	1
+ PDF Chat	Junction conditions in quadratic gravity: thin shells and double layers	2016	Borja Reina José M. M. Senovilla Raül Vera	1
+ PDF Chat	Hypersurface Data: General Properties and Birkhoff Theorem in Spherical Symmetry	2020	Marc Mars	1
+ PDF Chat	Aspects of $$C^0$$ causal theory	2020	Eric Ling	1
+ PDF Chat	Lorentzian distance functions in contact geometry	2022	Jakob Hedicke	1
+	Extension of Strictly Monotonic Functions in Order-Separable Spaces	2018	Farhad Hüsseinov	1
+	Causality theory of spacetimes with continuous Lorentzian metrics revisited	2021	Leonardo García-Heveling	1
+ PDF Chat	Null shells: general matching across null boundaries and connection with cut-and-paste formalism	2021	Miguel Manzano Marc Mars	1
+	Gluing constructions for Lorentzian length spaces	2022	Tobias Beran Felix Rott	1
+	Optimal Transport	2008	Cédric Villani	1
+ PDF Chat	An Invitation to Alexandrov Geometry	2019	Stephanie Alexander Vitali Kapovitch Anton Petrunin	1
+	The Analysis of Linear Partial Differential Operators I	2003	Lars Hörmander	1
+ PDF Chat	On the geometry of metric measure spaces	2006	Karl‐Theodor Sturm	1
+ PDF Chat	Penrose junction conditions with $$\Lambda $$: geometric insights into low-regularity metrics for impulsive gravitational waves	2022	Jiřı́ Podolský Roland Steinbauer	1
+	On the geometry of impulsive gravitational waves	1998	Roland Steinbauer	1
+ PDF Chat	The Singularity Theorems of General Relativity and Their Low Regularity Extensions	2022	Roland Steinbauer	1
+ PDF Chat	Good geodesics satisfying the timelike curvature-dimension condition	2022	Mathias Braun	1
+ PDF Chat	Gluing constructions for Lorentzian length spaces	2023	Tobias Beran Felix Rott	1