On the completeness of geodesics obtained as a limit

DOI10.1063/1.530057zbMath0783.53037OpenAlexW1976264452MaRDI QIDQ3141373

Miguel Sánchez, Alfonso Romero

Publication date: 13 March 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530057

zbMATH Keywords

counterexampleLorentzian 2-manifold

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (9)

Maximal simply connected Lorentzian surfaces with a Killing field and their completeness ⋮ On completeness of certain families of semi-Riemannian manifolds ⋮ On the completeness of pseudo-Riemannian manifolds ⋮ New properties and examples of incomplete Lorentzian tori ⋮ An Introduction to Certain Topics on Lorentzian Geometry ⋮ On the geometry of generalized Robertson-Walker spacetimes: geodesics. ⋮ Structure of Lorentzian tori with a killing vector field ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4763956 Compl�tude des m�triques lorentziennes de $$\mathbb{T}^2 $$ et diff�omorphismes du cercle] ⋮ Completeness of compact Lorentzian manifolds with abelian holonomy

Cites Work

• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• A simple proof of geodesical completeness for compact space-times of zero curvature

This page was built for publication: On the completeness of geodesics obtained as a limit