Closed geodesics in stationary manifolds with strictly convex boundary
type: Item
instance of: scholarly article
title: Closed geodesics in stationary manifolds with strictly convex boundary
zbMATH Open document ID: 0988.53036
DOI: 10.1016/S0926-2245(00)00033-4
published in: Differential Geometry and its Applications
publication date: 2002-06-26T00:00:00Z
review text: It is known that a Lorentzian manifold with stationary metric admits at least one closed spacelike geodesic if the space section of the manifold is compact [\textit{A. Masiello}, J. Differ. Equations 104, No. 1, 48-59 (1993; Zbl 0808.53058)]. Here, the authors present a variant of that result (which in fact may be considered as an extension). They prove that a stationary Lorentzian manifold equipped with a strictly space-convex boundary admits at least one closed spacelike geodesic. The proof uses variational procedures.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 58E10
zbMATH DE Number: 1567208
zbMATH Keywords: Lorentzian manifolds
zbMATH Keywords: stationary metrics
zbMATH Keywords: strictly space-convex boundary
zbMATH Keywords: closed spacelike geodesics
Wikidata QID: Q115338370
author: Anna Maria Candela
author: Addolorata Salvatore
reviewed by: Valter Moretti
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1567208