Timelike periodic trajectories in spatially compact Lorentz manifolds

DOI10.1090/S0002-9939-99-04979-5zbMath0958.53053OpenAlexW1846545093MaRDI QIDQ4257632

Miguel Sánchez

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04979-5

zbMATH Keywords

Lorentz manifoldfundamental groupcausalityclosed geodesicstationary manifoldperiodic trajectorystationary Lorentzian manifoldtimelike trajectorysplitting Lorentzian manifold

Mathematics Subject Classification ID

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

Related Items (7)

Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness ⋮ Geodesics in stationary spacetimes and classical Lagrangian systems ⋮ Periodic trajectories in Gödel type space-times ⋮ On causality and closed geodesics of compact Lorentzian manifolds and static spacetimes ⋮ On the geometry of static spacetimes ⋮ Geodesics in static spacetimes and t-periodic trajectories ⋮ A Gutzwiller trace formula for Dirac operators on a stationary spacetime

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