Cohomogeneity One Hypersurfaces of the Hyperbolic Space |
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| Authors: | Asperti Antonio Carlos Caputi Armando |
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| Institution: | (1) Instituto de Matemática e Estatística, Universidade de São Paulo, R. do Matão, 1010-São Paulo, CEP 05508-090, SP, Brazil;(2) Departamento de Matemática, Universidade Estadual de Maringá, Av. Colombo, 5790-Maringá, CEP 87020-900, PR, Brazil |
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| Abstract: | In this paper we extend to the hyperbolic space results firstly obtainedin Podestà and Spiro (Ann. Global Anal. Geom.
13(2) (1995), 169–184) for compact cohomogeneity, Riemannian manifoldsimmersed as hypersurfaces of the Euclidean space and in Seixas(Ph.D. Thesis, 1996), wherethe complete case was studied. Both works give sufficient conditionsfor the hypersurface to be of revolution. We study cohomogeneity, complete hypersurfaces of the hyperbolic space and prove a similar resultof Seixas (Ph.D. Thesis, 1996), obtaining also a class of nonrotational examples. |
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| Keywords: | hypersurfaces hyperbolic space cohomogeneity one G-manifolds |
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