A Ricci inequality for hypersurfaces in the sphere

Detalhes bibliográficos
Autor(a) principal: Costa, Ézio de Araújo
Data de Publicação: 2005
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13623
Resumo: Texto completo: acesso restrito.p.183-189
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spelling Costa, Ézio de AraújoCosta, Ézio de Araújo2013-11-13T11:14:58Z20050003-889Xhttp://repositorio.ufba.br/ri/handle/ri/13623v.85 n. 2Texto completo: acesso restrito.p.183-189Let M n be a complete Riemannian manifold immersed isometrically in the unity Euclidean sphere Sn+1. In [9], B. Smyth proved that if M n , n ≧ 3, has sectional curvature K and Ricci curvature Ric, with inf K > −∞, then sup Ric ≧ (n − 2) unless the universal covering M~n of M n is homeomorphic to Rn or homeomorphic to an odd-dimensional sphere. In this paper, we improve the result of Smyth. Moreover, we obtain the classification of complete hypersurfaces of Sn+1. with nonnegative sectional curvature.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-11-13T11:14:57Z No. of bitstreams: 1 Ezio Araujo Costa.pdf: 89827 bytes, checksum: 68fcd1f702643ad72c3a542f09720a8f (MD5)Made available in DSpace on 2013-11-13T11:14:58Z (GMT). No. of bitstreams: 1 Ezio Araujo Costa.pdf: 89827 bytes, checksum: 68fcd1f702643ad72c3a542f09720a8f (MD5) Previous issue date: 2005http://dx.doi.org/ 10.1007/s00013-005-1255-8reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAA Ricci inequality for hypersurfaces in the sphereArchiv der Mathematikinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALEzio Araujo Costa.pdfEzio Araujo Costa.pdfapplication/pdf89827https://repositorio.ufba.br/bitstream/ri/13623/1/Ezio%20Araujo%20Costa.pdf68fcd1f702643ad72c3a542f09720a8fMD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/13623/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTEzio Araujo Costa.pdf.txtEzio Araujo Costa.pdf.txtExtracted texttext/plain15795https://repositorio.ufba.br/bitstream/ri/13623/3/Ezio%20Araujo%20Costa.pdf.txtd7cad86f8f4d151f574eccc979276ec8MD53ri/136232022-07-05 14:03:19.752oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:19Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv A Ricci inequality for hypersurfaces in the sphere
dc.title.alternative.pt_BR.fl_str_mv Archiv der Mathematik
title A Ricci inequality for hypersurfaces in the sphere
spellingShingle A Ricci inequality for hypersurfaces in the sphere
Costa, Ézio de Araújo
title_short A Ricci inequality for hypersurfaces in the sphere
title_full A Ricci inequality for hypersurfaces in the sphere
title_fullStr A Ricci inequality for hypersurfaces in the sphere
title_full_unstemmed A Ricci inequality for hypersurfaces in the sphere
title_sort A Ricci inequality for hypersurfaces in the sphere
author Costa, Ézio de Araújo
author_facet Costa, Ézio de Araújo
author_role author
dc.contributor.author.fl_str_mv Costa, Ézio de Araújo
Costa, Ézio de Araújo
description Texto completo: acesso restrito.p.183-189
publishDate 2005
dc.date.issued.fl_str_mv 2005
dc.date.accessioned.fl_str_mv 2013-11-13T11:14:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/13623
dc.identifier.issn.none.fl_str_mv 0003-889X
dc.identifier.number.pt_BR.fl_str_mv v.85 n. 2
identifier_str_mv 0003-889X
v.85 n. 2
url http://repositorio.ufba.br/ri/handle/ri/13623
dc.language.iso.fl_str_mv eng
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