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

2004/09/24 by Claus Gerhardt
Mathematics · #math.DG

paper · pdf

published as Journal Diff. Geom. 48, 587 - 613 (1998) · 24 pages, amstex

arxiv created 2004/09/24 · arxiv updated 2009/12/01

Abstract

We prove the existence of smooth closed hypersurfaces of prescribed mean curvature homeomorphic to Sⁿ for small n, n≤6, provided there are barriers.

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