The splitting theorem for space-times with strong energy condition
From MaRDI portal
Publication:1104568
DOI10.4310/jdg/1214442005zbMath0647.53043OpenAlexW1553612891WikidataQ115183809 ScholiaQ115183809MaRDI QIDQ1104568
Publication date: 1988
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214442005
Cheeger-Gromoll splitting theoremglobally hyperbolic Lorentzian manifoldstrong energy conditiontimelike geodesic completeness
Related Items
Geometry of weighted Lorentz–Finsler manifolds II: A splitting theorem ⋮ Some connections between global hyperbolicity and geodesic completeness ⋮ Maximum principle for hypersurfaces ⋮ Hausdorff closed limits and rigidity in Lorentzian geometry ⋮ The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature ⋮ Omniscient foliations and the geometry of cosmological spacetimes ⋮ A barrier principle at infinity for varifolds with bounded mean curvature ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ Achronal limits, Lorentzian spheres, and splitting ⋮ Regularity of Lorentzian Busemann Functions ⋮ Conal orders on homogeneous spaces ⋮ The Riemannian and Lorentzian Splitting Theorems ⋮ Energy conditions in general relativity and quantum field theory ⋮ Lines in space-times ⋮ Mathematical general relativity ⋮ Aubry-Mather theory for Lorentzian manifolds ⋮ Local Splitting Theorems for Riemannian Manifolds ⋮ Class A spacetimes ⋮ Geometric analysis of Lorentzian distance function on spacelike hypersurfaces ⋮ Rigidity in vacuum under conformal symmetry ⋮ Some remarks on conformal symmetries and Bartnik's splitting conjecture ⋮ Optimal results in Lorentzian Aubry-Mather theory ⋮ On cylindricity of submanifolds of nonnegative Ricci curvature in a Minkowski space
