A new class of compact spacetimes without closed causal geodesics

DOI10.1007/S10711-007-9131-2zbMath1125.53052OpenAlexW2143536394MaRDI QIDQ2385552

Mohammed Guediri

Publication date: 12 October 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-007-9131-2

zbMATH Keywords

latticesclosed geodesicsHeisenberg groupsleft-invariant Lorentz metricsglobally hyperbolic space-times

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Analysis on other specific Lie groups (43A80) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field ⋮ A criterion for global hyperbolicity of left-invariant Lorentz metrics on Lie groups ⋮ Lorentzian causality theory

Cites Work

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• On the existence of closed timelike geodesics in compact spacetimes. II
• Lorentz geometry of 2-step nilpotent Lie groups
• On the existence of closed timelike geodesics in compact spacetimes
• Closed timelike geodesics in compact spacetimes
• Compact Lorentzian Manifolds Without Closed Nonspacelike Geodesics
• Existence of Closed Timelike Geodesics in Lorentz Spaces
• On the nonexistence of closed timelike geodesics in flat Lorentz 2-step nilmanifolds
• The Large Scale Structure of Space-Time

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