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|Type:||Artigo de periódico|
|Title:||Hypersurfaces of cohomogeneity one and hypersurfaces of revolution|
|Abstract:||In this paper, we study hypersurfaces f : M-n --> Rn+1, n greater than or equal to 3, where M-n is a G-cohomogeneity one Riemannian manifold such that the principal orbits of G are umbilical submanifolds of M. In (Ann. Global Anal. Geom. 13 (1995) 169-184), under the assumptions that n greater than or equal to 4 and M is compact, the authors prove that such a hypersurface must be of revolution. We extend this theorem to the of complete noncompact manifolds, G compact or noncompact. We also study the case n = 3. (C) 2003 Elsevier B.V. All rights reserved.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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