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arXiv · 1904.11867

Foliation by free boundary constant mean curvature leaves

J. Fabio Montenegro
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Abstract

Let $M$ be a Riemannian manifold of dimension $n+1$ with smooth boundary and $p\in \partial M$. We prove that there exists a smooth foliation around $p$ whose leaves are submanifolds of dimension $n$, constant mean curvature and its arrive perpendicular to the boundary of M, provided that $p$ is a nondegenerate critical point of the mean curvature function of $\partial M$.

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J. Fabio Montenegro. 2019-04-26. Foliation by free boundary constant mean curvature leaves. https://arxiv.org/abs/1904.11867

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