Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910005121253376 |
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| author | Seemungal, Luca Sharp, Ben |
| author_facet | Seemungal, Luca Sharp, Ben |
| contents | We prove a linear upper bound on the Morse index of closed constant mean curvature (CMC) surfaces in orientable three-manifolds in terms of genus, number of branch points and a Willmore-type energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02932 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison Seemungal, Luca Sharp, Ben Differential Geometry Analysis of PDEs 53A10, 49Q05, 53C42 We prove a linear upper bound on the Morse index of closed constant mean curvature (CMC) surfaces in orientable three-manifolds in terms of genus, number of branch points and a Willmore-type energy. |
| title | Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison |
| topic | Differential Geometry Analysis of PDEs 53A10, 49Q05, 53C42 |
| url | https://arxiv.org/abs/2411.02932 |