Geodesic completeness and stability

DOI10.1017/S0305004100067347zbMath0643.53048OpenAlexW2019119715MaRDI QIDQ3785549

Paul E. Ehrlich, John K. Beem

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0305004100067347

zbMATH Keywords

fine topologyconformal classgeodesically completestability resultclosed null geodesicno imprisoned null geodesicsnon- timelike geodesicspseudoconvex null geodesic system

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Manifolds of mappings (58D15)

Related Items (9)

Pseudoconvex and disprisoning homogeneous sprays ⋮ Singularity theorems for \(C^1\)-Lorentzian metrics ⋮ Stability of geodesic structures ⋮ Causal simplicity and (maximal) null pseudoconvexity ⋮ Lorentzian causality theory ⋮ On the geometry of generalized Robertson-Walker spacetimes: geodesics. ⋮ A SURVEY ON GEODESIC COMPLETENESS OF NONDEGENERATE SUBMANIFOLDS IN SEMI-RIEMANNIAN GEOMETRY ⋮ The stability of abstract boundary essential singularities ⋮ On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor

Cites Work

• Klein-Gordon solvability and the geometry of geodesics
• Whitney stability of solvability
• Stability of geodesic incompleteness for Robertson-Walker space-times
• The space of Lorentz metrics
• The Existence of Complete Riemannian Metrics
• The Large Scale Structure of Space-Time

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