The minimal covolume right-angled Coxeter group in hyperbolic 3-space
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866911149323190272 |
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| author | Egorov, A. Vesnin, A. |
| author_facet | Egorov, A. Vesnin, A. |
| contents | We prove that among all right-angled Coxeter groups in hyperbolic 3-space, the group generated by reflections in the faces of a right-angled triangular bipyramid with three ideal and two finite vertices has the smallest covolume. The group is arithmetic and its covolume equals Catalan's constant G = 0.915965.... |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The minimal covolume right-angled Coxeter group in hyperbolic 3-space Egorov, A. Vesnin, A. Geometric Topology 51F15, 57K32 We prove that among all right-angled Coxeter groups in hyperbolic 3-space, the group generated by reflections in the faces of a right-angled triangular bipyramid with three ideal and two finite vertices has the smallest covolume. The group is arithmetic and its covolume equals Catalan's constant G = 0.915965.... |
| title | The minimal covolume right-angled Coxeter group in hyperbolic 3-space |
| topic | Geometric Topology 51F15, 57K32 |
| url | https://arxiv.org/abs/2509.09261 |