Genus one critical catenoid
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913508048764928 |
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| author | Franz, Giada Ketover, Daniel Schulz, Mario B. |
| author_facet | Franz, Giada Ketover, Daniel Schulz, Mario B. |
| contents | We use variational methods to construct a free boundary minimal surface in the three-dimensional unit ball with genus one, two boundary components and prismatic symmetry. Key ingredients are an extension of the equivariant min-max theory to include orientation-reversing isometries and the discovery of a nontrivial two-parameter sweepout. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12588 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Genus one critical catenoid Franz, Giada Ketover, Daniel Schulz, Mario B. Differential Geometry We use variational methods to construct a free boundary minimal surface in the three-dimensional unit ball with genus one, two boundary components and prismatic symmetry. Key ingredients are an extension of the equivariant min-max theory to include orientation-reversing isometries and the discovery of a nontrivial two-parameter sweepout. |
| title | Genus one critical catenoid |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.12588 |