On level sets of Lorentzian distance function

zbMath1042.83006MaRDI QIDQ1413792

Fazilet Erkekoğlu, Demir N. Kupeli, Eduardo García-Río

Publication date: 17 November 2003

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

global hyperbolicitysingularity theoremsspacetime singularitystrong causalityLorentzian distance function

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75)

Related Items (8)

Higher order mean curvature estimates for bounded complete hypersurfaces ⋮ On class A Lorentzian 2-tori with poles. II. Foliations by timelike lines ⋮ Comparison theorems in Lorentzian geometry and applications to spacelike hypersurfaces ⋮ Some concave functions on Lorentzian manifolds ⋮ Higher order mean curvature estimates for properly immersed \(\phi _{h}\)-bounded hypersurfaces ⋮ Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds ⋮ On the mean curvature of spacelike submanifolds in semi-Riemannian manifolds ⋮ Geometric analysis of Lorentzian distance function on spacelike hypersurfaces

Cites Work

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• On conjugate and focal points in semi-Riemannian geometry
• Null cut loci of spacelike surfaces
• Isolated maximal surfaces in spacetime
• Some splitting theorems for stably causal space-times
• On extremal semi-Riemannian submanifolds
• Singularity versus splitting theorems for stably causal spacetimes
• The Large Scale Structure of Space-Time
• Quantum Equations in Cosmological Spaces

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