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Closed hypersurfaces of prescribed mean curvature in locally conformally flat Riemannian manifolds

Claus Gerhardt
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Abstract

We prove the existence of smooth closed hypersurfaces of prescribed mean curvature homeomorphic to $S^n$ for small $n, n\le6$, provided there are barriers.

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Claus Gerhardt. 2004-09-24. Closed hypersurfaces of prescribed mean curvature in locally conformally flat Riemannian manifolds. https://arxiv.org/abs/math/0409467

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