Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866915812429791232 |
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| author | Diaz-Ramos, Jose Carlos Dominguez-Vazquez, Miguel Otero, Tomas |
| author_facet | Diaz-Ramos, Jose Carlos Dominguez-Vazquez, Miguel Otero, Tomas |
| contents | We develop a new structural result for cohomogeneity one actions on (not necessarily irreducible) symmetric spaces of noncompact type and arbitrary rank. We apply this result to classify cohomogeneity one actions on SL(n,R)/SO(n), n>1, up to orbit equivalence. We also reduce the classification problem on a reducible space to the classification on each one of its irreducible factors, which in particular allows to classify cohomogeneity one actions on any finite product of hyperbolic spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_05138 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank Diaz-Ramos, Jose Carlos Dominguez-Vazquez, Miguel Otero, Tomas Differential Geometry 53C35, 57S20 We develop a new structural result for cohomogeneity one actions on (not necessarily irreducible) symmetric spaces of noncompact type and arbitrary rank. We apply this result to classify cohomogeneity one actions on SL(n,R)/SO(n), n>1, up to orbit equivalence. We also reduce the classification problem on a reducible space to the classification on each one of its irreducible factors, which in particular allows to classify cohomogeneity one actions on any finite product of hyperbolic spaces. |
| title | Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank |
| topic | Differential Geometry 53C35, 57S20 |
| url | https://arxiv.org/abs/2202.05138 |