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arXiv · 1303.6504

Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds

Marco Ghimenti·Anna Maria Micheletti
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Abstract

Let $M$ be a compact smooth Riemannian manifold of finite dimension $n+1$ with boundary $\partial M$and $\partial M$ is a compact $n$-dimensional submanifold of $M$. We show that for generic Riemannian metric $g$, all the critical points of the mean curvature of $\partial M$ are nondegenerate.

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Marco Ghimenti, Anna Maria Micheletti. 2013-03-26. Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds. https://arxiv.org/abs/1303.6504

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