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

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

2004-09-24

arxiv.org/abs/math/0409467v1

Journal Diff. Geom. 48, 587 - 613 (1998)

Mathematics

Differential Geometry

24 pages, amstex

Scientific paper

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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