Completeness of certain compact Lorentzian locally symmetric spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910719977455616 |
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| author | Leistner, Thomas Munn, Thomas |
| author_facet | Leistner, Thomas Munn, Thomas |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02380 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Completeness of certain compact Lorentzian locally symmetric spaces Leistner, Thomas Munn, Thomas Differential Geometry 53C50, 53C35 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. |
| title | Completeness of certain compact Lorentzian locally symmetric spaces |
| topic | Differential Geometry 53C50, 53C35 |
| url | https://arxiv.org/abs/2211.02380 |