论文标题

在多种方面的最小定向超曲面的边界规律性

Boundary Regularity of Minimal Oriented Hypersurfaces on a Manifold

论文作者

Steinbruechel, Simone

论文摘要

在本文中,我们证明了riemannian歧管中最小取向的超出表面的所有边界点是规则的,也就是说,在任何边界点的邻域,最小表面是$ \ MATHCAL {C}^{1,\ frac14} $ submanifold带有边界。

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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