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arXiv · 2001.04920

Free boundary minimal surfaces with connected boundary and arbitrary genus

Alessandro Carlotto·Giada Franz·Mario B. Schulz
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Abstract

We employ min-max techniques to show that the unit ball in $\mathbb{R}^3$ contains embedded free boundary minimal surfaces with connected boundary and arbitrary genus.

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Alessandro Carlotto, Giada Franz, Mario B. Schulz. 2020-01-14. Free boundary minimal surfaces with connected boundary and arbitrary genus. https://doi.org/10.4310/cjm.2022.v10.n4.a3

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