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arXiv · 1609.07810

Characterization of embedded free boundary surfaces in the ball

José M. Espinar·Harold Rosenberg
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Abstract

We prove that the only embedded free boundary minimal surface $Σ$ in $\mathbb{B}^3$ with index $4$ is the critical catenoid. This extends fundamental work of A. Fraser and R. Schoen, as well as the work of H. Tran.

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José M. Espinar, Harold Rosenberg. 2016-10-03. Characterization of embedded free boundary surfaces in the ball. https://arxiv.org/abs/1609.07810

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