Decomposition theorems for Lorentzian manifolds with nonpositive curvature

DOI10.4310/JDG/1214439719zbMath0585.53054OpenAlexW1501886385WikidataQ115186951 ScholiaQ115186951MaRDI QIDQ1070563

Paul E. Ehrlich, Steen Markvorsen, John K. Beem, Gregory J. Galloway

Publication date: 1985

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

Full work available at URL: https://doi.org/10.4310/jdg/1214439719

zbMATH Keywords

curvatureBusemann functionglobally hyperbolic space-timesectionalToponogov splitting theorem

Mathematics Subject Classification ID

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

Related Items (7)

Some connections between global hyperbolicity and geodesic completeness ⋮ The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ Achronal limits, Lorentzian spheres, and splitting ⋮ The Riemannian and Lorentzian Splitting Theorems ⋮ Lorentzian manifolds admitting a killing vector field ⋮ The nonspacelike cut locus revisited

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