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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleHypersurfaces of cohomogeneity one and hypersurfaces of revolutionpt_BR
dc.contributor.authorMercuri, Fpt_BR
dc.contributor.authorSeixas, JAPpt_BR
unicamp.author.emailmercuri@ime.unicamp.brpt_BR
unicamp.author.emailadonai@ime.unicamp.brpt_BR
unicamp.authorUNICAMP, Imecc, BR-13083970 Campinas, SP, Brazilpt_BR
dc.subjecthypersurfacespt_BR
dc.subjectcohomogeneitypt_BR
dc.subject.wosConstant Curvaturept_BR
dc.subject.wosOne Manifoldspt_BR
dc.subject.wosSpacespt_BR
dc.description.abstractIn 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.pt
dc.relation.ispartofDifferential Geometry And Its Applicationspt_BR
dc.relation.ispartofabbreviationDiffer. Geom. Appl.pt_BR
dc.publisher.cityAmsterdampt_BR
dc.publisher.countryHolandapt_BR
dc.publisherElsevier Science Bvpt_BR
dc.date.issued2004pt_BR
dc.date.monthofcirculationMARpt_BR
dc.identifier.citationDifferential Geometry And Its Applications. Elsevier Science Bv, v. 20, n. 2, n. 225, n. 239, 2004.pt_BR
dc.language.isoenpt_BR
dc.description.volume20pt_BR
dc.description.issuenumber2pt_BR
dc.description.firstpage225pt_BR
dc.description.lastpage239pt_BR
dc.rightsfechadopt_BR
dc.rights.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policypt_BR
dc.sourceWeb of Sciencept_BR
dc.identifier.issn0926-2245pt_BR
dc.identifier.wosidWOS:000220042800007pt_BR
dc.identifier.doi10.1016/j.difgeo.2003.10.010pt_BR
dc.date.available2014-11-14T05:46:09Z
dc.date.available2015-11-26T17:13:32Z-
dc.date.accessioned2014-11-14T05:46:09Z
dc.date.accessioned2015-11-26T17:13:32Z-
dc.description.provenanceMade available in DSpace on 2014-11-14T05:46:09Z (GMT). No. of bitstreams: 1 WOS000220042800007.pdf: 247765 bytes, checksum: ee568e0465e5bc9b2e172a688de6355e (MD5) Previous issue date: 2004en
dc.description.provenanceMade available in DSpace on 2015-11-26T17:13:32Z (GMT). No. of bitstreams: 2 WOS000220042800007.pdf: 247765 bytes, checksum: ee568e0465e5bc9b2e172a688de6355e (MD5) WOS000220042800007.pdf.txt: 42147 bytes, checksum: 487a17bc047f03e3d464663e98bab196 (MD5) Previous issue date: 2004en
dc.identifier.urihttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/69066pt_BR
dc.identifier.urihttp://www.repositorio.unicamp.br/handle/REPOSIP/69066
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/69066-
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