Compact Lorentzian Manifolds Without Closed Nonspacelike Geodesics

DOI10.2307/2045780zbMath0601.53053OpenAlexW4252657201MaRDI QIDQ3736508

Gregory J. Galloway

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045780

zbMATH Keywords

closed geodesicsnull geodesictimelike geodesicLorentzian 2-manifold

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Compact flat spacetimes, A new class of compact spacetimes without closed causal geodesics, Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field, Lorentzian compact manifolds: isometries and geodesics, Lorentzian manifolds admitting a killing vector field, Some results about geodesics on lorentzian manifolds of splitting type, A criterion for global hyperbolicity of left-invariant Lorentz metrics on Lie groups, Closed geodesics in Lorentzian surfaces, Lorentzian causality theory, On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes, On the existence of multiple geodesics in static space-times, Symplectic 4-manifolds via Lorentzian geometry, Closed geodesics in stationary manifolds with strictly convex boundary, Closed timelike geodesics in compact spacetimes, Structure of Lorentzian tori with a killing vector field

Cites Work

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• Splitting theorems for spatially closed space-times
• Closed Timelike Geodesics
• Existence of Closed Timelike Geodesics in Lorentz Spaces
• Topology in General Relativity
• The Large Scale Structure of Space-Time