A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2003 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UFBA |
| Texto Completo: | http://repositorio.ufba.br/ri/handle/ri/14095 |
Resumo: | Texto completo: acesso restrito. p. 478-484 |
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Barbosa, José Nelson BastosBarros, A.Barbosa, José Nelson BastosBarros, A.2013-12-11T14:46:34Z20030003-889Xhttp://repositorio.ufba.br/ri/handle/ri/14095v.81, n. 4Texto completo: acesso restrito. p. 478-484The aim of this paper is to give an estimate for the squared norm S of the second fundamental form A of a compact minimal hypersurface Mn⊂Sn+1 in terms of the gap n−λ1 , where λ1 stands for the first eigenvalue of the Laplacian of M. More precisely we will show that there exists a constant k≥nn−1 such that S≥kn−1n(n−λ1).Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-12-11T14:46:34Z No. of bitstreams: 1 J. N. Barbosa.pdf: 92566 bytes, checksum: 080b859c30a2503d6422b118b11c3984 (MD5)Made available in DSpace on 2013-12-11T14:46:34Z (GMT). No. of bitstreams: 1 J. N. Barbosa.pdf: 92566 bytes, checksum: 080b859c30a2503d6422b118b11c3984 (MD5) Previous issue date: 2003http://dx.doi.org/ 10.1007/s00013-003-4767-0reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAA lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1Archiv der Mathematikinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALJ. N. Barbosa.pdfJ. N. Barbosa.pdfapplication/pdf92566https://repositorio.ufba.br/bitstream/ri/14095/1/J.%20N.%20Barbosa.pdf080b859c30a2503d6422b118b11c3984MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14095/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTJ. N. Barbosa.pdf.txtJ. N. Barbosa.pdf.txtExtracted texttext/plain12580https://repositorio.ufba.br/bitstream/ri/14095/3/J.%20N.%20Barbosa.pdf.txtf6743920c5d7688af742a3f2b1f9a8aeMD53ri/140952022-07-05 14:03:43.967oai:repositorio.ufba.br:ri/14095VGVybW8gZGUgTGljZW7vv71hLCBu77+9byBleGNsdXNpdm8sIHBhcmEgbyBkZXDvv71zaXRvIG5vIFJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVRkJBLgoKIFBlbG8gcHJvY2Vzc28gZGUgc3VibWlzc++/vW8gZGUgZG9jdW1lbnRvcywgbyBhdXRvciBvdSBzZXUgcmVwcmVzZW50YW50ZSBsZWdhbCwgYW8gYWNlaXRhciAKZXNzZSB0ZXJtbyBkZSBsaWNlbu+/vWEsIGNvbmNlZGUgYW8gUmVwb3NpdO+/vXJpbyBJbnN0aXR1Y2lvbmFsIGRhIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRhIEJhaGlhIApvIGRpcmVpdG8gZGUgbWFudGVyIHVtYSBj77+9cGlhIGVtIHNldSByZXBvc2l077+9cmlvIGNvbSBhIGZpbmFsaWRhZGUsIHByaW1laXJhLCBkZSBwcmVzZXJ2Ye+/ve+/vW8uIApFc3NlcyB0ZXJtb3MsIG7vv71vIGV4Y2x1c2l2b3MsIG1hbnTvv71tIG9zIGRpcmVpdG9zIGRlIGF1dG9yL2NvcHlyaWdodCwgbWFzIGVudGVuZGUgbyBkb2N1bWVudG8gCmNvbW8gcGFydGUgZG8gYWNlcnZvIGludGVsZWN0dWFsIGRlc3NhIFVuaXZlcnNpZGFkZS4KCiBQYXJhIG9zIGRvY3VtZW50b3MgcHVibGljYWRvcyBjb20gcmVwYXNzZSBkZSBkaXJlaXRvcyBkZSBkaXN0cmlidWnvv73vv71vLCBlc3NlIHRlcm1vIGRlIGxpY2Vu77+9YSAKZW50ZW5kZSBxdWU6CgogTWFudGVuZG8gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIHJlcGFzc2Fkb3MgYSB0ZXJjZWlyb3MsIGVtIGNhc28gZGUgcHVibGljYe+/ve+/vWVzLCBvIHJlcG9zaXTvv71yaW8KcG9kZSByZXN0cmluZ2lyIG8gYWNlc3NvIGFvIHRleHRvIGludGVncmFsLCBtYXMgbGliZXJhIGFzIGluZm9ybWHvv73vv71lcyBzb2JyZSBvIGRvY3VtZW50bwooTWV0YWRhZG9zIGVzY3JpdGl2b3MpLgoKIERlc3RhIGZvcm1hLCBhdGVuZGVuZG8gYW9zIGFuc2Vpb3MgZGVzc2EgdW5pdmVyc2lkYWRlIGVtIG1hbnRlciBzdWEgcHJvZHXvv73vv71vIGNpZW5077+9ZmljYSBjb20gCmFzIHJlc3Ryae+/ve+/vWVzIGltcG9zdGFzIHBlbG9zIGVkaXRvcmVzIGRlIHBlcmnvv71kaWNvcy4KCiBQYXJhIGFzIHB1YmxpY2Hvv73vv71lcyBzZW0gaW5pY2lhdGl2YXMgcXVlIHNlZ3VlbSBhIHBvbO+/vXRpY2EgZGUgQWNlc3NvIEFiZXJ0bywgb3MgZGVw77+9c2l0b3MgCmNvbXB1bHPvv71yaW9zIG5lc3NlIHJlcG9zaXTvv71yaW8gbWFudO+/vW0gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIG1hcyBtYW5077+9bSBhY2Vzc28gaXJyZXN0cml0byAKYW8gbWV0YWRhZG9zIGUgdGV4dG8gY29tcGxldG8uIEFzc2ltLCBhIGFjZWl0Ye+/ve+/vW8gZGVzc2UgdGVybW8gbu+/vW8gbmVjZXNzaXRhIGRlIGNvbnNlbnRpbWVudG8KIHBvciBwYXJ0ZSBkZSBhdXRvcmVzL2RldGVudG9yZXMgZG9zIGRpcmVpdG9zLCBwb3IgZXN0YXJlbSBlbSBpbmljaWF0aXZhcyBkZSBhY2Vzc28gYWJlcnRvLgo=Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:43Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
| dc.title.pt_BR.fl_str_mv |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
| dc.title.alternative.pt_BR.fl_str_mv |
Archiv der Mathematik |
| title |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
| spellingShingle |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 Barbosa, José Nelson Bastos |
| title_short |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
| title_full |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
| title_fullStr |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
| title_full_unstemmed |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
| title_sort |
A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
| author |
Barbosa, José Nelson Bastos |
| author_facet |
Barbosa, José Nelson Bastos Barros, A. |
| author_role |
author |
| author2 |
Barros, A. |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Barbosa, José Nelson Bastos Barros, A. Barbosa, José Nelson Bastos Barros, A. |
| description |
Texto completo: acesso restrito. p. 478-484 |
| publishDate |
2003 |
| dc.date.issued.fl_str_mv |
2003 |
| dc.date.accessioned.fl_str_mv |
2013-12-11T14:46:34Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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http://repositorio.ufba.br/ri/handle/ri/14095 |
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0003-889X |
| dc.identifier.number.pt_BR.fl_str_mv |
v.81, n. 4 |
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0003-889X v.81, n. 4 |
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http://repositorio.ufba.br/ri/handle/ri/14095 |
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eng |
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http://dx.doi.org/ 10.1007/s00013-003-4767-0 |
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