Index of the critical catenoid

Baptiste Devyver

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arXiv · 1609.02315

Index of the critical catenoid

Baptiste Devyver

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Abstract

In this article, we show that the critical catenoid, as a free boundary minimal surface of the unit ball in $\mathbb{R}^3$, has index $4$. We also prove that a free boundary minimal surface of the unit ball in $\mathbb{R}^3$, that is not a flat disk, has index at least $4$.

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Baptiste Devyver. 2016-09-08. Index of the critical catenoid. https://arxiv.org/abs/1609.02315

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