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arXiv · 2409.12588

Genus one critical catenoid

Giada Franz·Daniel Ketover·Mario B. Schulz
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Abstract

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.

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Giada Franz, Daniel Ketover, Mario B. Schulz. 2024-09-19. Genus one critical catenoid. https://arxiv.org/abs/2409.12588

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