Genus one critical catenoid
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...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2409.12588 |