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arXiv · 1108.4544

A sharp bound for the area of minimal surfaces in the unit ball

S. Brendle
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Abstract

Let Σbe a k-dimensional minimal surface in the unit ball B^n which meets the unit sphere orthogonally. We show that the area of Σis bounded from below by the volume of the unit ball in R^k. This answers a question posed by R. Schoen.

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S. Brendle. 2012-01-10. A sharp bound for the area of minimal surfaces in the unit ball. https://arxiv.org/abs/1108.4544

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