Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917287130300416 |
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| author | Ueno, Fumihiro |
| author_facet | Ueno, Fumihiro |
| contents | We classify homogeneous pseudo-Riemannian structures of a three-parameter family of metrics called Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their induced groups of isometries and reductive decompositions. We also obtain the classification of homogeneous almost contact and paracontact metric structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their isometry groups and reductive decompositions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime Ueno, Fumihiro Differential Geometry 53C30 (primary), 53C35 (secondary) We classify homogeneous pseudo-Riemannian structures of a three-parameter family of metrics called Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their induced groups of isometries and reductive decompositions. We also obtain the classification of homogeneous almost contact and paracontact metric structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime with their isometry groups and reductive decompositions. |
| title | Homogeneous pseudo-Riemannian structures of metrics of Kaluza-Klein type on the three-dimensional anti-de Sitter spacetime |
| topic | Differential Geometry 53C30 (primary), 53C35 (secondary) |
| url | https://arxiv.org/abs/2505.13151 |