A free boundary minimal surface via a 6-sweepout
Differential Geometry
2023-05-17 v2 Analysis of PDEs
Geometric Topology
Abstract
We prove that the Almgren-Pitts 6-width of the unit 3-ball is less than . 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 , and is not the equatorial disk or the critical catenoid.
Cite
@article{arxiv.2208.06577,
title = {A free boundary minimal surface via a 6-sweepout},
author = {Adrian Chun-Pong Chu},
journal= {arXiv preprint arXiv:2208.06577},
year = {2023}
}
Comments
Accepted by J. Geom. Anal. Abstract updated