Hypersurfaces of sn+1 with two distinct principal curvatures
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2005 |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UFBA |
| Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/6648 |
Resumo: | p. 149-153 |
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Barbosa, José Nelson BastosBarbosa, José Nelson Bastos2012-08-28T20:51:08Z2012-08-28T20:51:08Z20050017-0895http://www.repositorio.ufba.br/ri/handle/ri/6648v. 47, n. 1p. 149-153The aim of this paper is to prove that the Ricci curvature RicM of a complete hypersurface Mn, n≥3, of the Euclidean sphere Sn+1, with two distinct principal curvatures of multiplicity 1 and n−1, satisfies supRicM≥inff(H), for a function\, f depending only on n and the mean curvature H. Supposing in addition that Mn is compact, we will show that the equality occurs if and only if H is constant and Mn is isometric to a Clifford torus Sn−1(r)×S1(1−r2−−−−−√).Submitted by Bruna Lessa (lessbruna@gmail.com) on 2012-08-28T20:51:08Z No. of bitstreams: 1 (181).pdf: 489615 bytes, checksum: a37afb6f6e8af7be77a73f78548eae02 (MD5)Made available in DSpace on 2012-08-28T20:51:08Z (GMT). No. of bitstreams: 1 (181).pdf: 489615 bytes, checksum: a37afb6f6e8af7be77a73f78548eae02 (MD5) Previous issue date: 2005-01Cambridge University Presshttp://dx.doi.org/10.1017/S0017089504002137reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAHypersurfaces of sn+1 with two distinct principal curvaturesGlasgow Mathematical Journalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/6648/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52ORIGINAL(181).pdf(181).pdfapplication/pdf489615https://repositorio.ufba.br/bitstream/ri/6648/1/%28181%29.pdfa37afb6f6e8af7be77a73f78548eae02MD51TEXT(181).pdf.txt(181).pdf.txtExtracted texttext/plain11487https://repositorio.ufba.br/bitstream/ri/6648/3/%28181%29.pdf.txtee844bb3ad6beb5c39204af168a33d9bMD53ri/66482022-09-29 13:14:50.931oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-09-29T16:14:50Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
| dc.title.pt_BR.fl_str_mv |
Hypersurfaces of sn+1 with two distinct principal curvatures |
| dc.title.alternative.pt_BR.fl_str_mv |
Glasgow Mathematical Journal |
| title |
Hypersurfaces of sn+1 with two distinct principal curvatures |
| spellingShingle |
Hypersurfaces of sn+1 with two distinct principal curvatures Barbosa, José Nelson Bastos |
| title_short |
Hypersurfaces of sn+1 with two distinct principal curvatures |
| title_full |
Hypersurfaces of sn+1 with two distinct principal curvatures |
| title_fullStr |
Hypersurfaces of sn+1 with two distinct principal curvatures |
| title_full_unstemmed |
Hypersurfaces of sn+1 with two distinct principal curvatures |
| title_sort |
Hypersurfaces of sn+1 with two distinct principal curvatures |
| author |
Barbosa, José Nelson Bastos |
| author_facet |
Barbosa, José Nelson Bastos |
| author_role |
author |
| dc.contributor.author.fl_str_mv |
Barbosa, José Nelson Bastos Barbosa, José Nelson Bastos |
| description |
p. 149-153 |
| publishDate |
2005 |
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2005 |
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2012-08-28T20:51:08Z |
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2012-08-28T20:51:08Z |
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info:eu-repo/semantics/publishedVersion |
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0017-0895 |
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v. 47, n. 1 |
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0017-0895 v. 47, n. 1 |
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Cambridge University Press |
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Cambridge University Press |
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