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The Existence of Embedded $G$-Invariant Minimal Hypersurface

Published 4 Dec 2018 in math.DG | (1812.02315v3)

Abstract: For a compact connected Lie group $G$ acting as isometries on a compact orientable Riemannian manifold $M{n+1},$ and cohomogeneity not equal to 0 or 2, we prove the existence of a nontrivial embedded $G$-invariant minimal hypersurface, that is smooth outside a set of Hausdorff dimension at most $n-7.

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Authors (1)

  1. Zhenhua Liu 

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