Polar actions on homogeneous 3-spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912921786777600 |
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| author | Dominguez-Vazquez, Miguel Ferreira, Tarcios A. Otero, Tomas |
| author_facet | Dominguez-Vazquez, Miguel Ferreira, Tarcios A. Otero, Tomas |
| contents | We classify polar isometric actions on simply connected 3-dimensional Riemannian homogeneous spaces, up to orbit equivalence. In particular, we classify extrinsically homogeneous surfaces in such spaces and study the geometry of the orbit foliations of the corresponding cohomogeneity one actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polar actions on homogeneous 3-spaces Dominguez-Vazquez, Miguel Ferreira, Tarcios A. Otero, Tomas Differential Geometry Primary 53C30, Secondary 53C40 We classify polar isometric actions on simply connected 3-dimensional Riemannian homogeneous spaces, up to orbit equivalence. In particular, we classify extrinsically homogeneous surfaces in such spaces and study the geometry of the orbit foliations of the corresponding cohomogeneity one actions. |
| title | Polar actions on homogeneous 3-spaces |
| topic | Differential Geometry Primary 53C30, Secondary 53C40 |
| url | https://arxiv.org/abs/2505.05898 |