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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2412.07614 |
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| _version_ | 1866915057171955712 |
|---|---|
| author | Hao, Yanlong |
| author_facet | Hao, Yanlong |
| contents | This paper aims to characterize rank-one arithmetic and locally symmetric metrics in the coarsely geometric setting using coarse-geometric commensurators. We provide a positive answer in general under the Hilbert-Smith conjecture and unconditionally for finite volume negatively curved manifolds with finitely many cusps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07614 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arithmeticity and geometrical commensurators Hao, Yanlong Geometric Topology 20F65, 37D40 This paper aims to characterize rank-one arithmetic and locally symmetric metrics in the coarsely geometric setting using coarse-geometric commensurators. We provide a positive answer in general under the Hilbert-Smith conjecture and unconditionally for finite volume negatively curved manifolds with finitely many cusps. |
| title | Arithmeticity and geometrical commensurators |
| topic | Geometric Topology 20F65, 37D40 |
| url | https://arxiv.org/abs/2412.07614 |