Pseudo-Riemannian symmetric spaces of signature (2,2)
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911861204582400 |
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| author | Kath, Ines Lyko, Matti |
| author_facet | Kath, Ines Lyko, Matti |
| contents | We study all four-dimensional simply-connected indecomposable non-semisimple pseudo-Riemannian symmetric spaces whose metric has signature (2,2). We present models and compute their isometry groups. We solve the problem of the existence or non-existence of compact quotients by properly acting discrete subgroups of the isometry group. This continues and completes earlier work by Maeta. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pseudo-Riemannian symmetric spaces of signature (2,2) Kath, Ines Lyko, Matti Differential Geometry 53C35, 53C50, 57S30 We study all four-dimensional simply-connected indecomposable non-semisimple pseudo-Riemannian symmetric spaces whose metric has signature (2,2). We present models and compute their isometry groups. We solve the problem of the existence or non-existence of compact quotients by properly acting discrete subgroups of the isometry group. This continues and completes earlier work by Maeta. |
| title | Pseudo-Riemannian symmetric spaces of signature (2,2) |
| topic | Differential Geometry 53C35, 53C50, 57S30 |
| url | https://arxiv.org/abs/2405.00501 |