Min-max minimal hypersurface in manifolds with convex boundary and $Ric\geq 0$

Zhichao Wang

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arXiv · 1709.03672

Min-max minimal hypersurface in manifolds with convex boundary and $Ric\geq 0$

Zhichao Wang

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Abstract

Let $(M^{n+1},\partial M,g)$ be a compact manifold with non-negative Ricci curvature, convex boundary and $2\leq n\leq 6$. We show that the min-max minimal hypersurface with respect to one-parameter families of hypersurfaces in $(M,\partial M)$ is orientable, of index one and multiplicity one.

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Zhichao Wang. 2017-09-12. Min-max minimal hypersurface in manifolds with convex boundary and $Ric\geq 0$. https://arxiv.org/abs/1709.03672

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