Timelike isometries and Killing fields

DOI10.1007/BF00183017zbMath0647.53045WikidataQ61978229 ScholiaQ61978229MaRDI QIDQ1104570

John K. Beem, Paul E. Ehrlich, Steen Markvorsen

Publication date: 1988

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

zbMATH Keywords

spacetimedisplacement functionClifford translationglobal hyperbolicitygeodesic completenesstime-like isometrytime-like sectional curvatures

Mathematics Subject Classification ID

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

Related Items (8)

Connectivity by geodesics in open subsets of globally hyperbolic spacetimes ⋮ Actions of discrete groups on stationary Lorentz manifolds ⋮ Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field ⋮ Some concave functions on Lorentzian manifolds ⋮ Groups of transformations of Riemannian manifolds ⋮ The identity component of the isometry group of a compact Lorentz manifold ⋮ Lorentzian manifolds admitting a killing vector field ⋮ Canonical variation of a Lorentzian metric

Cites Work

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• Essais de géométrie riemannienne hyperbolique globale. Applications à la relativité générale
• Critical points of the displacement function of an isometry
• Non-existence of continuous convex functions on certain Riemannian manifolds
• Critical points of the length of a Killing vector field
• Lorentzian Manifolds of Nonpositive Curvature. II
• Manifolds of Negative Curvature
• The Large Scale Structure of Space-Time
• Fundamental Groups on a Lorentz Manifold

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