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arXiv · 1807.07408

Area rigidity for the equatorial disk in the ball

Ezequiel Barbosa·Celso Viana
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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 $B^n$. 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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Ezequiel Barbosa, Celso Viana. 2018-07-19. Area rigidity for the equatorial disk in the ball. https://arxiv.org/abs/1807.07408

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