On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem

2003/11/11 by Antonio N. Bernal, Antonio Bernal, Miguel Sánchez · 1 voice · 13 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematics and Applications

paper · doi:10.1007/s00220-003-0982-6

crossref issued 2003/11/11 · crossref published 2003/11/11 · crossref published-online 2003/11/11 · openalex publication_date 2003/11/11 · crossref published-print 2003/12/01 · crossref created 2003/12/23 · crossref deposited 2020/03/28 · openalex created_date 2025/10/10 · crossref indexed 2026/07/23 · openalex updated_date 2026/07/28

Citations

• Domain of Dependence

Cited by

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• The Contact Structure in the Space of Light Rays
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• General Covariance in Algebraic Quantum Field Theory
• Genericity of nondegenerate critical points and Morse geodesic functionals
• Are the notions of past, present and future compatible with the General\n Theory of Relativity?
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• On the origin of inflation by using exotic smoothness

Discussions

• The math of general relativity (GR) describes how the spacetime manifold curves. This is a local theory: the curvature at a location is affected just by the curvature and mass-energy at nearby locatio [stackexchange, 2 points]