Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669275 | Bulletin des Sciences Mathématiques | 2009 | 8 Pages |
Abstract
The aim of this work is to show that a star-shaped hypersurface of constant mean curvature into the Euclidean sphere Sn+1 must be a geodesic sphere. This result extends the one obtained by Jellett in 1853 for such type of surfaces in the Euclidean space R3. In order to do that we will compute a useful formula for the Laplacian of a new support function defined over a hypersurface M of a Riemannian manifold .
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Mathematics
Mathematics (General)