Area rigidity for the equatorial disk in the ball
Differential Geometry
2023-08-31 v3
Abstract
It is proved by Brendle in [4] that the equatorial disk has least area among -dimensional free boundary minimal surfaces in the Euclidean ball . By comparing the excess of free boundary minimal surfaces with the excess of the associated cones over the boundary, we prove the existence of a gap for the area.
Keywords
Cite
@article{arxiv.1807.07408,
title = {Area rigidity for the equatorial disk in the ball},
author = {Ezequiel Barbosa and Celso Viana},
journal= {arXiv preprint arXiv:1807.07408},
year = {2023}
}
Comments
12 pages. Revised. Lemma 3.1 is replaced by Theorem 3.1. Lemma 3.3 added