The geodesic completeness of compact Lorentzian manifolds admitting a timelike killing vector field revisited: Two new proofs

DOI10.2298/PIM1818121DzbMath1474.53273WikidataQ113714381 ScholiaQ113714381MaRDI QIDQ4985638

Daniel de la Fuente

Publication date: 24 April 2021

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

zbMATH Keywords

geodesic completenesstime-like Killing vector fieldcompact Lorentzian manifold

Mathematics Subject Classification ID

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

Cites Work

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• Completeness of Lorentz manifolds of constant curvature admitting Killing vector fields
• Relativistic space forms
• Completeness of Lorentz manifolds with constant curvature
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• Structure of Lorentzian tori with a killing vector field
• New properties and examples of incomplete Lorentzian tori
• On the Completeness of Hamiltonian Vector Fields

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