Characterization of embedded free boundary surfaces in the ball
classification
🧮 math.DG
keywords
boundaryembeddedfreeworkballcatenoidcharacterizationcritical
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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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