A characterization of Moebius isoparametric hypersurfaces of the sphere |
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| Authors: | L A Rodrigues K Tenenblat |
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| Institution: | 1.Instituto de Matemática e Estatística,Universidade Federal de Goiás,Goiania,Brazil;2.Departamento de Matemática,Universidade de Brasília,Brasília,Brazil |
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| Abstract: | We consider a proper, umbilic-free immersion of an n-dimensional manifold M in the sphere S n+1. We show that M is a Moebius isoparametric hypersurface if, and only if, it is a cyclide of Dupin or a Dupin hypersurface with constant Moebius curvature. |
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