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Min-max minimal hypersurface in manifolds with convex boundary and $Ric\geq 0$
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math.DGmath.GT
keywords
boundaryconvexhypersurfacemin-maxminimalpartialcompactcurvature
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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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