Completeness of certain compact Lorentzian locally symmetric spaces
Date
2023
Authors
Leistner, T.
Munn, T.
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Comptes Rendus Mathematique (Academie des Sciences), 2023; 361(1):819-824
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Thomas Leistner and Thomas Munn
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Abstract
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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The authors retain unrestricted copyrights and publishing rights. This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/