Completeness of certain compact Lorentzian locally symmetric spaces
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 earlie...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-05-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.449/ |
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| author | Leistner, Thomas Munn, Thomas |
| author_facet | Leistner, Thomas Munn, Thomas |
| author_sort | Leistner, Thomas |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5c7bf8624d9541f8a925105df00ad605 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-5c7bf8624d9541f8a925105df00ad6052025-02-07T11:07:37ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-05-01361G481982410.5802/crmath.44910.5802/crmath.449Completeness of certain compact Lorentzian locally symmetric spacesLeistner, Thomas0Munn, Thomas1School of Mathematical Sciences, University of Adelaide, SA 5005, AustraliaLund University, Faculty of Science, Centre for Mathematical Sciences, Box 118, 22100 Lund, SwedenWe 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.449/Lorentzian manifoldsLorentzian symmetric spacesgeodesic completeness |
| spellingShingle | Leistner, Thomas Munn, Thomas Completeness of certain compact Lorentzian locally symmetric spaces Comptes Rendus. Mathématique Lorentzian manifolds Lorentzian symmetric spaces geodesic completeness |
| title | Completeness of certain compact Lorentzian locally symmetric spaces |
| title_full | Completeness of certain compact Lorentzian locally symmetric spaces |
| title_fullStr | Completeness of certain compact Lorentzian locally symmetric spaces |
| title_full_unstemmed | Completeness of certain compact Lorentzian locally symmetric spaces |
| title_short | Completeness of certain compact Lorentzian locally symmetric spaces |
| title_sort | completeness of certain compact lorentzian locally symmetric spaces |
| topic | Lorentzian manifolds Lorentzian symmetric spaces geodesic completeness |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.449/ |
| work_keys_str_mv | AT leistnerthomas completenessofcertaincompactlorentzianlocallysymmetricspaces AT munnthomas completenessofcertaincompactlorentzianlocallysymmetricspaces |