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arXiv · 0906.0189

The Maximum Principle for Minimal Varieties of Arbitrary Codimension

Brian White
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Abstract

We prove that an m-dimensional minimal variety in a Riemannian manifold cannot touch the boundary at a point where the sum of the smallest m principal curvatures is greater than 0. We also prove an analogous result for varieties with bounded mean curvature.

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Brian White. 2010-11-12. The Maximum Principle for Minimal Varieties of Arbitrary Codimension. https://arxiv.org/abs/0906.0189

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