Hipersuperfícies conformemente planas em R4

Detalhes bibliográficos
Ano de defesa: 2009
Autor(a) principal: Moreira, Lucas lattes
Orientador(a): Pina, Romildo da Silva lattes
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
dARK ID: ark:/38995/0013000001fgw
Idioma: por
Instituição de defesa: Universidade Federal de Goiás
Programa de Pós-Graduação: Programa de Pós-graduação em Matemática (IME)
Departamento: Instituto de Matemática e Estatística - IME (RG)
País: Brasil
Palavras-chave em Português:
Hipersuperfícies conformemente planas em R4
Palavras-chave em Inglês:
Conformally flat hypersurfaces in R4
Área do conhecimento CNPq:
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tde/2905
Resumo: language="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2.
id UFG-2_e2a3efe0e6cda80ec9351b2c80f32b21
oai_identifier_str oai:repositorio.bc.ufg.br:tde/2905
network_acronym_str UFG-2
network_name_str Repositório Institucional da UFG
repository_id_str
spelling Pina, Romildo da Silvahttp://lattes.cnpq.br/2675728978857991http://lattes.cnpq.br/7199217979463480Moreira, Lucas2014-08-15T12:30:24Z2009-03-13MOREIRA, Lucas - Hipersuperfícies Conformemente Planas em R4. 2009. 65 f.Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2009.http://repositorio.bc.ufg.br/tede/handle/tde/2905ark:/38995/0013000001fgwlanguage="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2.Este trabalho foi baseado nos artigos [16] e [17] de Oscar J. Garay que consistem em estudar as hipersuperfícies conformemente planas em R4, cujo vetor curvatura média, H, ´e autovetor do operador Laplaciano, isto ´e, DH = lH, com l 2 R. Mostramos que estas hipersuperfícies são isoparamétricas e, consequentemente, são m´ınimas, ou uma hiperesfera S3(r), ou um cilindro cartesiano com uma 1-esfera R2 S1(r), ou um cilindro cartesiano com uma 2-esfera R S2(r).application/pdfhttp://repositorio.bc.ufg.br/tede/retrieve/6245/dissertacao-lucas-1.pdf.jpgporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessHipersuperfícies conformemente planas em R4Conformally flat hypersurfaces in R4CIENCIAS EXATAS E DA TERRA::MATEMATICAHipersuperfícies conformemente planas em R4Conformally flat hipersurfaces of the R4info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600-4268777512335152015-7090823417984401694reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-82142http://repositorio.bc.ufg.br/tede/bitstreams/586afd9d-13e7-4f04-becd-3c4fd74f49a7/download232e528055260031f4e2af4136033daaMD51CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://repositorio.bc.ufg.br/tede/bitstreams/2e00caef-be70-4566-aa6b-3b50cb21e37a/download4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-821936http://repositorio.bc.ufg.br/tede/bitstreams/27381c01-b55e-4bf5-bd5d-08d32821b86e/download9833653f73f7853880c94a6fead477b1MD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-823148http://repositorio.bc.ufg.br/tede/bitstreams/e653f3ce-12ab-45cc-8e67-cd28381e7a4b/download9da0b6dfac957114c6a7714714b86306MD54ORIGINALdissertacao-lucas-1.pdfdissertacao-lucas-1.pdfDissertação - PPGMAT/RG - Lucas Moreiraapplication/pdf395719http://repositorio.bc.ufg.br/tede/bitstreams/3c426f29-9b23-40b0-9f3c-f3da5e93b1a3/download853c88b4092e0da7fb4784c37434ccbeMD55THUMBNAILdissertacao-lucas-1.pdf.jpgdissertacao-lucas-1.pdf.jpgGenerated Thumbnailimage/jpeg3018http://repositorio.bc.ufg.br/tede/bitstreams/adf00de8-5550-4ce3-84b9-dd248ecbdd01/downloadbefaf142523a8ee3d6bd580d015e8ad3MD56tde/29052014-08-16 03:01:39.322http://creativecommons.org/licenses/by-nc-nd/4.0/Acesso abertoopen.accessoai:repositorio.bc.ufg.br:tde/2905http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttps://repositorio.bc.ufg.br/tedeserver/oai/requestgrt.bc@ufg.bropendoar:oai:repositorio.bc.ufg.br:tede/12342014-08-16T06:01:39Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)falseTk9UQTogQ09MT1FVRSBBUVVJIEEgU1VBIFBSw5NQUklBIExJQ0VOw4dBCkVzdGEgbGljZW7Dp2EgZGUgZXhlbXBsbyDDqSBmb3JuZWNpZGEgYXBlbmFzIHBhcmEgZmlucyBpbmZvcm1hdGl2b3MuCgpMSUNFTsOHQSBERSBESVNUUklCVUnDh8ODTyBOw4NPLUVYQ0xVU0lWQQpDb20gYSBhcHJlc2VudGHDp8OjbyBkZXN0YSBsaWNlbsOnYSwgdm9jw6ogKG8gYXV0b3IgKGVzKSBvdSBvIHRpdHVsYXIgZG9zIGRpcmVpdG9zIGRlIGF1dG9yKSBjb25jZWRlIMOgIFVuaXZlcnNpZGFkZSBYWFggKFNpZ2xhIGRhIFVuaXZlcnNpZGFkZSkgbyBkaXJlaXRvIG7Do28tZXhjbHVzaXZvIGRlIHJlcHJvZHV6aXIsIHRyYWR1emlyIChjb25mb3JtZSBkZWZpbmlkbyBhYmFpeG8pLCBlL291IGRpc3RyaWJ1aXIgYSBzdWEgdGVzZSBvdSBkaXNzZXJ0YcOnw6NvIChpbmNsdWluZG8gbyByZXN1bW8pIHBvciB0b2RvIG8gbXVuZG8gbm8gZm9ybWF0byBpbXByZXNzbyBlIGVsZXRyw7RuaWNvIGUgZW0gcXVhbHF1ZXIgbWVpbywgaW5jbHVpbmRvIG9zIGZvcm1hdG9zIMOhdWRpbyBvdSB2w61kZW8uClZvY8OqIGNvbmNvcmRhIHF1ZSBhIFNpZ2xhIGRlIFVuaXZlcnNpZGFkZSBwb2RlLCBzZW0gYWx0ZXJhciBvIGNvbnRlw7pkbywgdHJhbnNwb3IgYSBzdWEgdGVzZSBvdSBkaXNzZXJ0YcOnw6NvIHBhcmEgcXVhbHF1ZXIgbWVpbyBvdSBmb3JtYXRvIHBhcmEgZmlucyBkZSBwcmVzZXJ2YcOnw6NvLgpWb2PDqiB0YW1iw6ltIGNvbmNvcmRhIHF1ZSBhIFNpZ2xhIGRlIFVuaXZlcnNpZGFkZSBwb2RlIG1hbnRlciBtYWlzIGRlIHVtYSBjw7NwaWEgYSBzdWEgdGVzZSBvdSBkaXNzZXJ0YcOnw6NvIHBhcmEgZmlucyBkZSBzZWd1cmFuw6dhLCBiYWNrLXVwIGUgcHJlc2VydmHDp8Ojby4KVm9jw6ogZGVjbGFyYSBxdWUgYSBzdWEgdGVzZSBvdSBkaXNzZXJ0YcOnw6NvIMOpIG9yaWdpbmFsIGUgcXVlIHZvY8OqIHRlbSBvIHBvZGVyIGRlIGNvbmNlZGVyIG9zIGRpcmVpdG9zIGNvbnRpZG9zIG5lc3RhIGxpY2Vuw6dhLiBWb2PDqiB0YW1iw6ltIGRlY2xhcmEgcXVlIG8gZGVww7NzaXRvIGRhIHN1YSB0ZXNlIG91IGRpc3NlcnRhw6fDo28gbsOjbywgcXVlIHNlamEgZGUgc2V1IGNvbmhlY2ltZW50bywgaW5mcmluZ2UgZGlyZWl0b3MgYXV0b3JhaXMgZGUgbmluZ3XDqW0uCkNhc28gYSBzdWEgdGVzZSBvdSBkaXNzZXJ0YcOnw6NvIGNvbnRlbmhhIG1hdGVyaWFsIHF1ZSB2b2PDqiBuw6NvIHBvc3N1aSBhIHRpdHVsYXJpZGFkZSBkb3MgZGlyZWl0b3MgYXV0b3JhaXMsIHZvY8OqIGRlY2xhcmEgcXVlIG9idGV2ZSBhIHBlcm1pc3PDo28gaXJyZXN0cml0YSBkbyBkZXRlbnRvciBkb3MgZGlyZWl0b3MgYXV0b3JhaXMgcGFyYSBjb25jZWRlciDDoCBTaWdsYSBkZSBVbml2ZXJzaWRhZGUgb3MgZGlyZWl0b3MgYXByZXNlbnRhZG9zIG5lc3RhIGxpY2Vuw6dhLCBlIHF1ZSBlc3NlIG1hdGVyaWFsIGRlIHByb3ByaWVkYWRlIGRlIHRlcmNlaXJvcyBlc3TDoSBjbGFyYW1lbnRlIGlkZW50aWZpY2FkbyBlIHJlY29uaGVjaWRvIG5vIHRleHRvIG91IG5vIGNvbnRlw7pkbyBkYSB0ZXNlIG91IGRpc3NlcnRhw6fDo28gb3JhIGRlcG9zaXRhZGEuCkNBU08gQSBURVNFIE9VIERJU1NFUlRBw4fDg08gT1JBIERFUE9TSVRBREEgVEVOSEEgU0lETyBSRVNVTFRBRE8gREUgVU0gUEFUUk9Dw41OSU8gT1UgQVBPSU8gREUgVU1BIEFHw4pOQ0lBIERFIEZPTUVOVE8gT1UgT1VUUk8gT1JHQU5JU01PIFFVRSBOw4NPIFNFSkEgQSBTSUdMQSBERSBVTklWRVJTSURBREUsIFZPQ8OKIERFQ0xBUkEgUVVFIFJFU1BFSVRPVSBUT0RPUyBFIFFVQUlTUVVFUiBESVJFSVRPUyBERSBSRVZJU8ODTyBDT01PIFRBTULDiU0gQVMgREVNQUlTIE9CUklHQcOHw5VFUyBFWElHSURBUyBQT1IgQ09OVFJBVE8gT1UgQUNPUkRPLgpBIFNpZ2xhIGRlIFVuaXZlcnNpZGFkZSBzZSBjb21wcm9tZXRlIGEgaWRlbnRpZmljYXIgY2xhcmFtZW50ZSBvIHNldSBub21lIChzKSBvdSBvKHMpIG5vbWUocykgZG8ocykgZGV0ZW50b3IoZXMpIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBkYSB0ZXNlIG91IGRpc3NlcnRhw6fDo28sIGUgbsOjbyBmYXLDoSBxdWFscXVlciBhbHRlcmHDp8OjbywgYWzDqW0gZGFxdWVsYXMgY29uY2VkaWRhcyBwb3IgZXN0YSBsaWNlbsOnYS4K
dc.title.por.fl_str_mv Hipersuperfícies conformemente planas em R4
dc.title.alternative.eng.fl_str_mv Conformally flat hipersurfaces of the R4
title Hipersuperfícies conformemente planas em R4
spellingShingle Hipersuperfícies conformemente planas em R4
Moreira, Lucas
Hipersuperfícies conformemente planas em R4
Conformally flat hypersurfaces in R4
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Hipersuperfícies conformemente planas em R4
title_full Hipersuperfícies conformemente planas em R4
title_fullStr Hipersuperfícies conformemente planas em R4
title_full_unstemmed Hipersuperfícies conformemente planas em R4
title_sort Hipersuperfícies conformemente planas em R4
author Moreira, Lucas
author_facet Moreira, Lucas
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.authorLattes.fl_str_mv http://lattes.cnpq.br/7199217979463480
dc.contributor.author.fl_str_mv Moreira, Lucas
contributor_str_mv Pina, Romildo da Silva
dc.subject.por.fl_str_mv Hipersuperfícies conformemente planas em R4
topic Hipersuperfícies conformemente planas em R4
Conformally flat hypersurfaces in R4
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Conformally flat hypersurfaces in R4
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description language="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2.
publishDate 2009
dc.date.issued.fl_str_mv 2009-03-13
dc.date.accessioned.fl_str_mv 2014-08-15T12:30:24Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv MOREIRA, Lucas - Hipersuperfícies Conformemente Planas em R4. 2009. 65 f.Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2009.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tde/2905
dc.identifier.dark.fl_str_mv ark:/38995/0013000001fgw
identifier_str_mv MOREIRA, Lucas - Hipersuperfícies Conformemente Planas em R4. 2009. 65 f.Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2009.
ark:/38995/0013000001fgw
url http://repositorio.bc.ufg.br/tede/handle/tde/2905
dc.language.iso.fl_str_mv por
language por
dc.relation.program.fl_str_mv 6600717948137941247
dc.relation.confidence.fl_str_mv 600
600
600
dc.relation.department.fl_str_mv -4268777512335152015
dc.relation.cnpq.fl_str_mv -7090823417984401694
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFG
instname:Universidade Federal de Goiás (UFG)
instacron:UFG
instname_str Universidade Federal de Goiás (UFG)
instacron_str UFG
institution UFG
reponame_str Repositório Institucional da UFG
collection Repositório Institucional da UFG
bitstream.url.fl_str_mv http://repositorio.bc.ufg.br/tede/bitstreams/586afd9d-13e7-4f04-becd-3c4fd74f49a7/download
http://repositorio.bc.ufg.br/tede/bitstreams/2e00caef-be70-4566-aa6b-3b50cb21e37a/download
http://repositorio.bc.ufg.br/tede/bitstreams/27381c01-b55e-4bf5-bd5d-08d32821b86e/download
http://repositorio.bc.ufg.br/tede/bitstreams/e653f3ce-12ab-45cc-8e67-cd28381e7a4b/download
http://repositorio.bc.ufg.br/tede/bitstreams/3c426f29-9b23-40b0-9f3c-f3da5e93b1a3/download
http://repositorio.bc.ufg.br/tede/bitstreams/adf00de8-5550-4ce3-84b9-dd248ecbdd01/download
bitstream.checksum.fl_str_mv 232e528055260031f4e2af4136033daa
4afdbb8c545fd630ea7db775da747b2f
9833653f73f7853880c94a6fead477b1
9da0b6dfac957114c6a7714714b86306
853c88b4092e0da7fb4784c37434ccbe
befaf142523a8ee3d6bd580d015e8ad3
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)
repository.mail.fl_str_mv grt.bc@ufg.br
_version_ 1846536611826761728

Registros relacionados