Geodesic
Géométrie et Topologie
Completeness of certain compact Lorentzian locally symmetric spaces
Leistner, Thomas1  ; Munn, Thomas2
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
Comptes Rendus. Mathématique, Tome 361 (2023) no. G4, pp. 819-824

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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

Leistner, Thomas 1 ; Munn, Thomas 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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Completeness of certain compact {Lorentzian} locally symmetric spaces},
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Leistner, Thomas; Munn, Thomas. Completeness of certain compact Lorentzian locally symmetric spaces. Comptes Rendus. Mathématique, Tome 361 (2023) no. G4, pp. 819-824. doi: 10.5802/crmath.449

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