On the radius of injectivity of null hypersurfaces

Sergiù Klainerman, Igor Rodnianski

Type: Article

Publication Date: 2008-03-18

Citations: 39

DOI: https://doi.org/10.1090/s0894-0347-08-00592-4

View Publication

Locations

Journal of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Null injectivity estimate under an upper bound on the curvature	2010	James D. E. Grant Philippe G. LeFloch
+ PDF Chat	Null injectivity estimate under an upper bound on the curvature	2014	James D. E. Grant Philippe G. LeFloch
+	Null injectivity estimate under an upper bound on the curvature	2010	James D. E. Grant Philippe G. LeFloch
+ PDF Chat	The canonical foliation on null hypersurfaces in low regularity	2019	Stefan Czimek Olivier Graf
+ PDF Chat	The Canonical Foliation On Null Hypersurfaces in Low Regularity	2022	Stefan Czimek Olivier Graf
+	Injectivity Radius of Lorentzian Manifolds	2006	Bing-Long Chen Philippe G. LeFloch
+	On the radius of injectivity of null hypersurfaces	2006	Sergiù Klainerman Igor Rodnianski
+	Local foliations and optimal regularity of Einstein spacetimes	2009	Bing-Long Chen Philippe G. LeFloch
+	On the connectedness of the space of initial data for the Einstein equations	2000	Brian R. Smith Gilbert Weinstein
+ PDF Chat	Optimal transport and timelike lower Ricci curvature bounds on Finsler spacetimes	2024	Mathias Braun Shin‐ichi Ohta
+ PDF Chat	Homogeneous spacetimes of zero curvature	1989	Della C. Duncan Edwin Ihrig
+ PDF Chat	Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux	2004	Sergiù Klainerman Igor Rodnianski
+ PDF Chat	Lipschitz inextendibility of weak null singularities from curvature blow-up	2024	Jan Sbierski
+ PDF Chat	Finiteness of index and total scalar curvature for minimal hypersurfaces	1989	Johan Tysk
+ PDF Chat	Proof of a new area law in general relativity	2015	Raphael Bousso Netta Engelhardt
+ PDF Chat	The large-scale structure of the ambient boundary	2017	Ignatios Antoniadis Spiros Cotsakis
+	Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature	2008	Philippe G. LeFloch
+ PDF Chat	Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature	2008	Philippe G. LeFloch
+ PDF Chat	Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces	2019	Madeleine Burkhart Martin Lesourd Daniel Pollack
+	Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces	2019	Madeleine Burkhart Martin Lesourd Daniel Pollack

Works That Cite This (38)

Action	Title	Year	Authors
+	Lower bound of null injectivity radius without curvature assumptions in a family of null cones	2019	Manuel Gutiérrez Benjamín Olea
+ PDF Chat	Rough sound waves in 3D compressible Euler flow with vorticity	2022	Marcelo M. Disconzi Chenyun Luo Giusy Mazzone Jared Speck
+ PDF Chat	The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions	2023	Leonardo Abbrescia Jared Speck
+ PDF Chat	On Breakdown Criteria for Nonvacuum Einstein Equations	2011	Arick Shao
+ PDF Chat	A Generalized Representation Formula for Systems of Tensor Wave Equations	2011	Arick Shao
+ PDF Chat	New tensorial estimates in Besov spaces for time-dependent (2 + 1)-dimensional problems	2014	Arick Shao
+ PDF Chat	On the geometry of null cones in Einstein-vacuum spacetimes	2008	Qian Wang
+ PDF Chat	Improved breakdown criterion for einstein vacuum equations in CMC gauge	2011	Qian Wang
+	Totally umbilic null hypersurfaces in generalized Robertson–Walker spaces	2015	Manuel Gutiérrez Benjamín Olea
+	Local foliations and optimal regularity of Einstein spacetimes	2009	Bing-Long Chen Philippe G. LeFloch

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	Cheeger-Gromov Theory and Applications to General Relativity	2004	Michael T. Anderson
+	Convergence Theorems in Riemannian Geometry	1997	Peter Petersen
+ PDF Chat	Solvability of Convolution Operators	1994	Yasunori Okada
+	Finiteness Theorems for Riemannian Manifolds	1970	Jeff Cheeger
+	The Large Scale Structure of Space-Time	1973	S. W. Hawking George Ellis
+	Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity	1977	Thomas J.R. Hughes Tosio Kato Jerrold E. Marsden
+ PDF Chat	A geometric approach to the Littlewood–Paley theory	2006	Sergiù Klainerman Igor Rodnianski
+	Comparison Geometry with Integral Curvature Bounds	1997	P A Peterson Semion Shteingold Guofang Wei
+ PDF Chat	Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux	2006	Sergiù Klainerman Igor Rodnianski
+	Diffeomorphism finiteness for manifolds with ricci curvature andL n/2-norm of curvature bounded	1991	Michael T. Anderson Jeff Cheeger