Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn

Detalhes bibliográficos
Autor(a) principal: Carvalho, Marcos Túlio Alves de
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tde/2967
Resumo: Inthiswork,basedonthearticlesMariaLuízaLeiteandOscasPalmas,wepresentedthe classificationofthecompleterotationhypersurfaceswithconstantscalarcurvature,inRn eHn withn>3.
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spelling Pina, Romildo da Silvahttp://lattes.cnpq.br/2675728978857991Pina, Romildo da SilvaAraújo, Kellcio OlivieraPieterzack, Maurício Donizettihttp://lattes.cnpq.br/0735780612586466Carvalho, Marcos Túlio Alves de2014-08-29T18:40:14Z2014-08-292014-02-25CARVALHO, Marcos Túlio Alves de. Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn. 2014. 71 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2014.http://repositorio.bc.ufg.br/tede/handle/tde/2967Inthiswork,basedonthearticlesMariaLuízaLeiteandOscasPalmas,wepresentedthe classificationofthecompleterotationhypersurfaceswithconstantscalarcurvature,inRn eHn withn>3.Neste trabalho, baseado nos artigos de Maria Luíza Leite e Oscas Palmas, classificamos as hipersuperfícies de rotação completas, com curvatura escalar constante, emRn eHn comn>3.Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2014-08-29T18:40:14Z No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) DissertaçãofinalMarcostulio.pdf: 1325302 bytes, checksum: 282aebfee90d1ca1fcbbe83021300b0f (MD5)Made available in DSpace on 2014-08-29T18:40:14Z (GMT). No. of bitstreams: 2 license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) DissertaçãofinalMarcostulio.pdf: 1325302 bytes, checksum: 282aebfee90d1ca1fcbbe83021300b0f (MD5) Previous issue date: 2014-02-25Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPqapplication/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/6812/Disserta%c3%a7%c3%a3ofinalMarcostulio.pdf.jpgporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)[1] A.ROS. Compact hypersurfaces with constant scalar curvature and a congruence theorem. J. Diff. Geom. 27, 215-220 (1988). [2] COLARES, A. GERVASIO AND PALMAS, OSCAR. Addendum to: "Complete rotation hypersurfaces withHk constant in space forms"by Palmas. Bull. Braz. Math. Soc. (N.S.) 39, n◦ 1, 11-20, (2008). [3] DELAUNAY, C. Sur la surface de révolution don‘t la courbure moyenne est constant. J. Math. pure et appl, Série 16, (1841). [4] DO CARMO, M. P. AND DAJCZER, M. Rotation hypersurfaces in spaces of constant curvature. Transactions of the American Mathematical Society 277-2, p.685-709, (1993). [5] DO CARMO, M. P. Geometria Diferencial de curvas e Superfícies. Rio de Janeiro, SBM, (2010). [6] DO CARMO, M. P. Geometria Riemanniana. Projeto Euclides, Rio de Janeiro. quinta edição, (2011). [7] FILHO, R. S. V. A. AND CHAVES, R. M. B. Noçõesfundamentaissobregráficos no espaço hiperbólicoH3. USP. [8] GUIMARÃES, TULIO AND SATO, JOCELINO Hipersuperfícies doR4 com curvatura escalar nula invariantes por um subgrupo de isometrias. Anais do I Congresso de Matemática Aplicada e Computacional da Região Sudeste, (2011). [9] HSIANG, W. Y AND LAWSON, H. B. Minimal submanifolds of low cohomegeneity, Journal of Differential Geometry. vol. 5, p.1-38, (1971). [10] HSIANG, W. Y. OnrotationalW-hypersurfacesinspacesofconstantcurvature and generalized laws of sine and cosine. Bull. Inst. Math. Acad. Sinica 11, 349373, (1977). [11] HSIANG, W. Y. On W- hypersurfaces of generalized rotational type inEn+1, I, preprint, (1982). [12] J. L. BARBOSA AND M. DO CARMO: Helicoids, catenoids and minimal hypersurfaces ofRn invariant by an l - parameter group of motions. An. Acad. Bras. Cienc. 53, 403-408, (1981). [13] LEITE, M. L. Rotation hypersurfaces of space forms with constant scalar curvature. Manuscripta. 67, 285 - 304, (1990). [14] LI, HAIZHONG AND WEI, GUOXIN. Embedded rotational hypersurfaces with constant scalar curvature inSn. A correction to a statement:"Rotational hypersurfaces of space forms with constant scalar curvature" by M. L. LEITE. Manuscripta Math. 120, n◦ 3, 319-323, (2006). [15] LI, HAIZHONG AND WEI, GUOXIN. Compactembeddedrotationhypersurfaces ofSn. Bull. Braz. Math. Soc. (N.S.) 38, n◦ 1, 81-99, (2007). 17] PALMAS, OSCAR. CompleterotationhypersurfaceswithHk constantinspace forms. Bol. Soc. Brasil. Mat. (N.S.) 30, n◦ 2, 139-161, (1999). [18] PINA, ROMILDO. Hipersuperfíciesderotaçãocomcurvaturaescalarconstante negativa. Dissertação de Mestrado, UNB - Brasília, (1992). [19] S. Y. CHENG AND S. T. YAU: Hypersurfaces with constant scalar curvature, Math. Ann. 225, 195-204. (1977). [20] SPIVAK, M. A comprehensive introduction to Differential Geometry, vol 4, 2nd edn, Publish or Perish, Inc. 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dc.title.por.fl_str_mv Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
dc.title.alternative.eng.fl_str_mv Rotational hypersupersurfaces with scalar curvature constant in Rn e Hn
title Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
spellingShingle Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
Carvalho, Marcos Túlio Alves de
Hipersuperfícies de rotação
Subgrupo de isometrias
Curvatura escalar
Rotational hypersurfaces
Subgroup of isometry
MATEMATICA::GEOMETRIA E TOPOLOGIA
title_short Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
title_full Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
title_fullStr Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
title_full_unstemmed Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
title_sort Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn
author Carvalho, Marcos Túlio Alves de
author_facet Carvalho, Marcos Túlio Alves de
author_role author
dc.contributor.advisor1.fl_str_mv Pina, Romildo da Silva
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2675728978857991
dc.contributor.referee1.fl_str_mv Pina, Romildo da Silva
dc.contributor.referee2.fl_str_mv Araújo, Kellcio Oliviera
dc.contributor.referee3.fl_str_mv Pieterzack, Maurício Donizetti
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/0735780612586466
dc.contributor.author.fl_str_mv Carvalho, Marcos Túlio Alves de
contributor_str_mv Pina, Romildo da Silva
Pina, Romildo da Silva
Araújo, Kellcio Oliviera
Pieterzack, Maurício Donizetti
dc.subject.por.fl_str_mv Hipersuperfícies de rotação
Subgrupo de isometrias
Curvatura escalar
topic Hipersuperfícies de rotação
Subgrupo de isometrias
Curvatura escalar
Rotational hypersurfaces
Subgroup of isometry
MATEMATICA::GEOMETRIA E TOPOLOGIA
dc.subject.eng.fl_str_mv Rotational hypersurfaces
Subgroup of isometry
dc.subject.cnpq.fl_str_mv MATEMATICA::GEOMETRIA E TOPOLOGIA
description Inthiswork,basedonthearticlesMariaLuízaLeiteandOscasPalmas,wepresentedthe classificationofthecompleterotationhypersurfaceswithconstantscalarcurvature,inRn eHn withn>3.
publishDate 2014
dc.date.accessioned.fl_str_mv 2014-08-29T18:40:14Z
dc.date.available.fl_str_mv 2014-08-29
dc.date.issued.fl_str_mv 2014-02-25
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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dc.identifier.citation.fl_str_mv CARVALHO, Marcos Túlio Alves de. Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn. 2014. 71 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2014.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tde/2967
identifier_str_mv CARVALHO, Marcos Túlio Alves de. Hipersuperfícies de rotação com curvatura escalar constante em Rn e Hn. 2014. 71 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2014.
url http://repositorio.bc.ufg.br/tede/handle/tde/2967
dc.language.iso.fl_str_mv por
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dc.relation.references.por.fl_str_mv [1] A.ROS. Compact hypersurfaces with constant scalar curvature and a congruence theorem. J. Diff. Geom. 27, 215-220 (1988). [2] COLARES, A. GERVASIO AND PALMAS, OSCAR. Addendum to: "Complete rotation hypersurfaces withHk constant in space forms"by Palmas. Bull. Braz. Math. Soc. (N.S.) 39, n◦ 1, 11-20, (2008). [3] DELAUNAY, C. Sur la surface de révolution don‘t la courbure moyenne est constant. J. Math. pure et appl, Série 16, (1841). [4] DO CARMO, M. P. AND DAJCZER, M. Rotation hypersurfaces in spaces of constant curvature. Transactions of the American Mathematical Society 277-2, p.685-709, (1993). [5] DO CARMO, M. P. Geometria Diferencial de curvas e Superfícies. Rio de Janeiro, SBM, (2010). [6] DO CARMO, M. P. Geometria Riemanniana. Projeto Euclides, Rio de Janeiro. quinta edição, (2011). [7] FILHO, R. S. V. A. AND CHAVES, R. M. B. Noçõesfundamentaissobregráficos no espaço hiperbólicoH3. USP. [8] GUIMARÃES, TULIO AND SATO, JOCELINO Hipersuperfícies doR4 com curvatura escalar nula invariantes por um subgrupo de isometrias. Anais do I Congresso de Matemática Aplicada e Computacional da Região Sudeste, (2011). [9] HSIANG, W. Y AND LAWSON, H. B. Minimal submanifolds of low cohomegeneity, Journal of Differential Geometry. vol. 5, p.1-38, (1971). [10] HSIANG, W. Y. OnrotationalW-hypersurfacesinspacesofconstantcurvature and generalized laws of sine and cosine. Bull. Inst. Math. Acad. Sinica 11, 349373, (1977). [11] HSIANG, W. Y. On W- hypersurfaces of generalized rotational type inEn+1, I, preprint, (1982). [12] J. L. BARBOSA AND M. DO CARMO: Helicoids, catenoids and minimal hypersurfaces ofRn invariant by an l - parameter group of motions. An. Acad. Bras. Cienc. 53, 403-408, (1981). [13] LEITE, M. L. Rotation hypersurfaces of space forms with constant scalar curvature. Manuscripta. 67, 285 - 304, (1990). [14] LI, HAIZHONG AND WEI, GUOXIN. Embedded rotational hypersurfaces with constant scalar curvature inSn. A correction to a statement:"Rotational hypersurfaces of space forms with constant scalar curvature" by M. L. LEITE. Manuscripta Math. 120, n◦ 3, 319-323, (2006). [15] LI, HAIZHONG AND WEI, GUOXIN. Compactembeddedrotationhypersurfaces ofSn. Bull. Braz. Math. Soc. (N.S.) 38, n◦ 1, 81-99, (2007). 17] PALMAS, OSCAR. CompleterotationhypersurfaceswithHk constantinspace forms. Bol. Soc. Brasil. Mat. (N.S.) 30, n◦ 2, 139-161, (1999). [18] PINA, ROMILDO. Hipersuperfíciesderotaçãocomcurvaturaescalarconstante negativa. Dissertação de Mestrado, UNB - Brasília, (1992). [19] S. Y. CHENG AND S. T. YAU: Hypersurfaces with constant scalar curvature, Math. Ann. 225, 195-204. (1977). [20] SPIVAK, M. A comprehensive introduction to Differential Geometry, vol 4, 2nd edn, Publish or Perish, Inc. Berkeley, (1979).
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repository.name.fl_str_mv Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)
repository.mail.fl_str_mv tasesdissertacoes.bc@ufg.br
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