Min–max minimal hypersurface in manifolds with convex boundary and
Z Wang - Mathematische Annalen, 2018 - Springer
Mathematische Annalen, 2018•Springer
Abstract Let (M^ n+ 1, ∂ M, g)(M n+ 1,∂ M, g) be a compact manifold with non-negative
Ricci curvature, convex boundary and 2 ≤ n ≤ 6. 2≤ n≤ 6. We show that the min–max
minimal hypersurface with respect to one-parameter families of hypersurfaces in (M, ∂
M)(M,∂ M) is orientable, of index one and multiplicity one.
Ricci curvature, convex boundary and 2 ≤ n ≤ 6. 2≤ n≤ 6. We show that the min–max
minimal hypersurface with respect to one-parameter families of hypersurfaces in (M, ∂
M)(M,∂ M) is orientable, of index one and multiplicity one.
Abstract
Let be a compact manifold with non-negative Ricci curvature, convex boundary and We show that the min–max minimal hypersurface with respect to one-parameter families of hypersurfaces in is orientable, of index one and multiplicity one.
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