Closed hypersurfaces of prescribed mean curvature in locally conformally flat Riemannian manifolds
نویسندگان
چکیده
منابع مشابه
Closed Hypersurfaces of Prescribed Mean Curvature in Locally Conformally Flat Riemannian Manifolds
We prove the existence of smooth closed hypersurfaces of prescribed mean curvature homeomorphic to S for small n, n ≤ 6, provided there are barriers. 0. Introduction In a complete (n+1)-dimensional manifold N we want to find closed hypersurfaces M of prescribed mean curvature. To be more precise, let Ω be a connected open subset of N , f ∈ C(Ω̄), then we look for a closed hypersurface M ⊂ Ω such...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1998
ISSN: 0022-040X
DOI: 10.4310/jdg/1214460864