An extension of Jellett's theorem |
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Authors: | A Barros P Sousa |
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Institution: | Departamento de Matemática-UFC, 60455-760-Fortaleza-CE-Br, Brazil |
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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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Keywords: | primary 53C42 53C45 secondary 53C65 |
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