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arXiv · 2208.06577

A free boundary minimal surface via a 6-sweepout

Adrian Chun-Pong Chu
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Abstract

We prove that the Almgren-Pitts 6-width of the unit 3-ball is less than $2\pi$. We also prove that there exists a free boundary minimal surface in the unit 3-ball that has genus at most 1, index at most 5, area less than $2\pi$, and is not the equatorial disk or the critical catenoid.

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Adrian Chun-Pong Chu. 2022-08-13. A free boundary minimal surface via a 6-sweepout. https://arxiv.org/abs/2208.06577

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