Cheeger constant of convex co-compact hyperbolic 3-manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911030703030272 |
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| author | Pallete, Franco Vargas Viana, Celso |
| author_facet | Pallete, Franco Vargas Viana, Celso |
| contents | We study the Cheeger isoperimetric constant as a functional in the space of convex co-compact hyperbolic 3-manifolds which are either quasi-Fuchsian or acylindrical. We prove that the global maximum is attained uniquely at the Fuchsian locus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12162 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cheeger constant of convex co-compact hyperbolic 3-manifolds Pallete, Franco Vargas Viana, Celso Differential Geometry Geometric Topology We study the Cheeger isoperimetric constant as a functional in the space of convex co-compact hyperbolic 3-manifolds which are either quasi-Fuchsian or acylindrical. We prove that the global maximum is attained uniquely at the Fuchsian locus. |
| title | Cheeger constant of convex co-compact hyperbolic 3-manifolds |
| topic | Differential Geometry Geometric Topology |
| url | https://arxiv.org/abs/2311.12162 |