A proof of the splitting conjecture of S.-T. Yau

DOI10.4310/jdg/1214444093zbMath0695.53049OpenAlexW1516044688WikidataQ115182372 ScholiaQ115182372MaRDI QIDQ910026

Richard P. A. C. Newman

Publication date: 1990

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214444093

zbMATH Keywords

Lorentzian splitting theoremtimelike geodesically complete Lorentzian manifoldtimelike line

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (13)

Geometry of weighted Lorentz–Finsler manifolds II: A splitting theorem ⋮ Bartnik’s splitting conjecture and Lorentzian Busemann function ⋮ The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature ⋮ Functions of time type, curvature and causality theory ⋮ Regularity of Lorentzian Busemann Functions ⋮ The Riemannian and Lorentzian Splitting Theorems ⋮ The nonspacelike cut locus revisited ⋮ Lines in space-times ⋮ Mathematical general relativity ⋮ Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor ⋮ Geometric analysis of Lorentzian distance function on spacelike hypersurfaces ⋮ Rigidity in vacuum under conformal symmetry ⋮ Some results about the level sets of Lorentzian Busemann function and Bartnik's conjecture

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