Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917939543801856 |
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| author | Cerezo, Alberto |
| author_facet | Cerezo, Alberto |
| contents | We construct a countable collection of one-parameter families of non-rotational minimal annuli with free boundary in geodesic balls of hyperbolic 3-space. Every surface within a given family shares a common prismatic symmetry group, and they appear as bifurcations from certain free boundary hyperbolic catenoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$ Cerezo, Alberto Differential Geometry 53A10, 53C42 We construct a countable collection of one-parameter families of non-rotational minimal annuli with free boundary in geodesic balls of hyperbolic 3-space. Every surface within a given family shares a common prismatic symmetry group, and they appear as bifurcations from certain free boundary hyperbolic catenoids. |
| title | Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$ |
| topic | Differential Geometry 53A10, 53C42 |
| url | https://arxiv.org/abs/2502.20303 |