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Characterization of embedded free boundary surfaces in the ball

Published 25 Sep 2016 in math.DG | (1609.07810v2)

Abstract: We prove that the only embedded free boundary minimal surface $\Sigma$ 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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