Comptes Rendus
Geometry and Topology
Completeness of certain compact Lorentzian locally symmetric spaces
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 819-824.

We show that a compact Lorentzian locally symmetric space is geodesically complete if the Lorentzian factor in the local de Rham–Wu decomposition is of Cahen–Wallach type or if the maximal flat factor is one-dimensional and time-like. Our proof uses a recent result by Mehidi and Zeghib and an earlier result by Romero and Sánchez.

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DOI: 10.5802/crmath.449
Classification: 53C50, 53C35
Keywords: Lorentzian manifolds, Lorentzian symmetric spaces, geodesic completeness

Thomas Leistner 1; Thomas Munn 2

1 School of Mathematical Sciences, University of Adelaide, SA 5005, Australia
2 Lund University, Faculty of Science, Centre for Mathematical Sciences, Box 118, 22100 Lund, Sweden
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Thomas Leistner; Thomas Munn. Completeness of certain compact Lorentzian locally symmetric spaces. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 819-824. doi : 10.5802/crmath.449. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.449/

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