Area rigidity for the equatorial disk in the ball

2018/07/19 by Barbosa, Ezequiel, Viana, Celso
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.07408

Abstract

It is proved by Brendle in [4] that the equatorial disk D^k has least area among k-dimensional free boundary minimal surfaces in the Euclidean ball Bⁿ. 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.

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