Sobre rigidez de métricas quasi-Einstein

Detalhes bibliográficos
Ano de defesa: 2017
Autor(a) principal: Borges, Laena Furtado lattes
Orientador(a): Pieterzack, Mauricio Donizetti lattes
Banca de defesa: Pieterzack, Mauricio Donizetti, Riveros, Carlos Maber Carrión, Pina, Romildo da Silva
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
dARK ID: ark:/38995/001300000244z
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:
Métricas quase-Einstein
Produto torcido
Rigidez
Métricas Kähler
Palavras-chave em Inglês:
Quase-Einstein metrics
Warped product
Rigidity
Kähler metrics
Área do conhecimento CNPq:
MATEMATICA::GEOMETRIA E TOPOLOGIA
Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/6965
Resumo: In this work, we will present some concepts of quasi-Einstein metrics. From this, we will enunciate and demonstrate rigidity results for quasi-Einstein metrics until we have enough material to demonstrate a stiffness result for quasi-Einstein metrics of dimension two. Finally, we will give some concepts of Kähler metrics, prove a theorem and finally demonstrate a corollary that connects the main theorem of our work with Kähler metrics.
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spelling Pieterzack, Mauricio Donizettihttp://lattes.cnpq.br/2248032189335187Pieterzack, Mauricio DonizettiRiveros, Carlos Maber CarriónPina, Romildo da Silvahttp://lattes.cnpq.br/5847638917257545Borges, Laena Furtado2017-03-20T13:53:29Z2017-03-03Borges, L. F. Sobre rigidez de métricas quasi-Einstein. 2017. 87 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/6965ark:/38995/001300000244zIn this work, we will present some concepts of quasi-Einstein metrics. From this, we will enunciate and demonstrate rigidity results for quasi-Einstein metrics until we have enough material to demonstrate a stiffness result for quasi-Einstein metrics of dimension two. Finally, we will give some concepts of Kähler metrics, prove a theorem and finally demonstrate a corollary that connects the main theorem of our work with Kähler metrics.Nesse trabalho, apresentaremos alguns conceitos de métricas quasi-Einstein. A partir disso, enunciaremos e demonstraremos resultados de rigidez para métricas quasi-Einstein, até que tenhamos material suficiente para a demonstração de um resultado de rigidez para métricas quasi-Einstein em dimensão dois. Por fim, daremos alguns conceitos de métricas kähler, provaremos um teorema e por fim demonstraremos um corolário que conecta o teorema principal do nosso trabalho com as métricas Kähler.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfporUniversidade 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/openAccessMétricas quase-EinsteinProduto torcidoRigidezMétricas KählerQuase-Einstein metricsWarped productRigidityKähler metricsMATEMATICA::GEOMETRIA E TOPOLOGIASobre rigidez de métricas quasi-EinsteinOn rigidity of quasi-Einstein metricsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600600-426877751233515201563578808849912206292075167498588264571reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; 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dc.title.por.fl_str_mv Sobre rigidez de métricas quasi-Einstein
dc.title.alternative.eng.fl_str_mv On rigidity of quasi-Einstein metrics
title Sobre rigidez de métricas quasi-Einstein
spellingShingle Sobre rigidez de métricas quasi-Einstein
Borges, Laena Furtado
Métricas quase-Einstein
Produto torcido
Rigidez
Métricas Kähler
Quase-Einstein metrics
Warped product
Rigidity
Kähler metrics
MATEMATICA::GEOMETRIA E TOPOLOGIA
title_short Sobre rigidez de métricas quasi-Einstein
title_full Sobre rigidez de métricas quasi-Einstein
title_fullStr Sobre rigidez de métricas quasi-Einstein
title_full_unstemmed Sobre rigidez de métricas quasi-Einstein
title_sort Sobre rigidez de métricas quasi-Einstein
author Borges, Laena Furtado
author_facet Borges, Laena Furtado
author_role author
dc.contributor.advisor1.fl_str_mv Pieterzack, Mauricio Donizetti
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2248032189335187
dc.contributor.referee1.fl_str_mv Pieterzack, Mauricio Donizetti
dc.contributor.referee2.fl_str_mv Riveros, Carlos Maber Carrión
dc.contributor.referee3.fl_str_mv Pina, Romildo da Silva
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/5847638917257545
dc.contributor.author.fl_str_mv Borges, Laena Furtado
contributor_str_mv Pieterzack, Mauricio Donizetti
Pieterzack, Mauricio Donizetti
Riveros, Carlos Maber Carrión
Pina, Romildo da Silva
dc.subject.por.fl_str_mv Métricas quase-Einstein
Produto torcido
Rigidez
Métricas Kähler
topic Métricas quase-Einstein
Produto torcido
Rigidez
Métricas Kähler
Quase-Einstein metrics
Warped product
Rigidity
Kähler metrics
MATEMATICA::GEOMETRIA E TOPOLOGIA
dc.subject.eng.fl_str_mv Quase-Einstein metrics
Warped product
Rigidity
Kähler metrics
dc.subject.cnpq.fl_str_mv MATEMATICA::GEOMETRIA E TOPOLOGIA
description In this work, we will present some concepts of quasi-Einstein metrics. From this, we will enunciate and demonstrate rigidity results for quasi-Einstein metrics until we have enough material to demonstrate a stiffness result for quasi-Einstein metrics of dimension two. Finally, we will give some concepts of Kähler metrics, prove a theorem and finally demonstrate a corollary that connects the main theorem of our work with Kähler metrics.
publishDate 2017
dc.date.accessioned.fl_str_mv 2017-03-20T13:53:29Z
dc.date.issued.fl_str_mv 2017-03-03
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 Borges, L. F. Sobre rigidez de métricas quasi-Einstein. 2017. 87 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/6965
dc.identifier.dark.fl_str_mv ark:/38995/001300000244z
identifier_str_mv Borges, L. F. Sobre rigidez de métricas quasi-Einstein. 2017. 87 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.
ark:/38995/001300000244z
url http://repositorio.bc.ufg.br/tede/handle/tede/6965
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
600
dc.relation.department.fl_str_mv -4268777512335152015
dc.relation.cnpq.fl_str_mv 6357880884991220629
dc.relation.sponsorship.fl_str_mv 2075167498588264571
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rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
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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
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reponame_str Repositório Institucional da UFG
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