On the completeness of pseudo-Riemannian manifolds

DOI10.1016/0393-0440(93)E0063-UzbMath0818.53083OpenAlexW1968636093MaRDI QIDQ1345104

Jacques Lafontaine, Mohammed Guediri

Publication date: 26 February 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(93)e0063-u

zbMATH Keywords

geodesic completenessnon-complete compact manifolds

Mathematics Subject Classification ID

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

Related Items (7)

Maximal simply connected Lorentzian surfaces with a Killing field and their completeness ⋮ Three-dimensional Lorentz geometries: Classification and completeness ⋮ Geodesic completeness of pseudo and holomorphic-Riemannian metrics on Lie groups ⋮ Unnamed Item ⋮ Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds) ⋮ Completeness of certain pseudo-Riemannian (locally) symmetric spaces ⋮ Closed timelike geodesics in compact spacetimes

Cites Work

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• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• The space of Lorentz metrics
• Compact Clifford-Klein forms of symmetric spaces
• On the completeness of geodesics obtained as a limit
• A simple proof of geodesical completeness for compact space-times of zero curvature

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