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arxiv: 1303.6504 · v1 · pith:IVTKR5UXnew · submitted 2013-03-26 · 🧮 math.AP

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

classification 🧮 math.AP
keywords partialriemannianboundarycompactcriticalcurvaturemeanpoints
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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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