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arXiv · 2005.05180

Boundary Regularity of Minimal Oriented Hypersurfaces on a Manifold

Simone Steinbruechel
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Abstract

In this article we prove that all boundary points of a minimal oriented hypersurface in a Riemannian manifold are regular, that is, in a neighborhood of any boundary point, the minimal surface is a $\mathcal{C}^{1, \frac14}$ submanifold with boundary.

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Simone Steinbruechel. 2020-05-11. Boundary Regularity of Minimal Oriented Hypersurfaces on a Manifold. https://arxiv.org/abs/2005.05180

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