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

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

2011-08-23

arxiv.org/abs/1108.4544v2

Mathematics

Differential Geometry

To appear in Geometric and Functional Analysis

Scientific paper

Let \Sigma be a k-dimensional minimal surface in the unit ball B^n which
meets the unit sphere orthogonally. We show that the area of \Sigma is 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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