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arXiv · 2609.13054

Free boundary minimal surfaces of genus zero

Otis Chodosh·Matilde Gianocca
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Abstract

We prove that any embedded genus zero free boundary minimal surface in the ball has first Steklov eigenvalue $1$. This implies the uniqueness of the critical catenoid.

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Otis Chodosh, Matilde Gianocca. 2026-09-11. Free boundary minimal surfaces of genus zero. https://arxiv.org/abs/2609.13054

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