Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat

Detalhes bibliográficos
Autor(a) principal: Reis, Hiuri Fellipe Santos dos
Data de Publicação: 2013
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/3453
Resumo: In this work we present a study on locally conformally flat gradient steady Ricci solitons which is based on a Huai Dong-Cao and Qing Chen’s article, where they was classified the n-dimensional (n ≥ 3) complete noncompact locally conformally flat gradient steady Ricci solitons. In particular, we prove that a complete noncompact non-flat locally conformally flat gradient steady Ricci soliton is, up to scaling, the Bryant soliton.
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spelling Pina, Romildo da Silvahttp://lattes.cnpq.br/2675728978857991Pina , Romildo da SilvaLima, Barnabé PessoaSouza, Marcelo Almeida dehttp://lattes.cnpq.br/9444154235787960Reis, Hiuri Fellipe Santos dos2014-10-23T20:05:03Z2013-03-22REIS, Hiuri Fellipe Santos dos. Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat. 2013. 83 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2013.http://repositorio.bc.ufg.br/tede/handle/tede/3453In this work we present a study on locally conformally flat gradient steady Ricci solitons which is based on a Huai Dong-Cao and Qing Chen’s article, where they was classified the n-dimensional (n ≥ 3) complete noncompact locally conformally flat gradient steady Ricci solitons. In particular, we prove that a complete noncompact non-flat locally conformally flat gradient steady Ricci soliton is, up to scaling, the Bryant soliton.Neste trabalho apresentamos um estudo dos sólitons de Ricci gradiente steady localmente conformemente flat, baseado no trabalho de Huai-Dong Cao e Qiang Chen, onde são classificados os sólitons de Ricci gradiente steady n-dimensionais (n ≥ 3), completos, não-compactos e localmente conformemente flat. Em particular provamos que um sóliton de Ricci gradiente steady completo, não-compacto, não-flat e localmente conformemente flat é, a menos de homotetia, o sóliton de Bryant.Submitted by Jaqueline Silva (jtas29@gmail.com) on 2014-10-23T20:04:48Z No. of bitstreams: 2 Dissertação - Hiuri Fellipe Santos dos Reis - 2013.pdf: 1601406 bytes, checksum: f2663891a9c0968329f2f913ada41d9e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Jaqueline Silva (jtas29@gmail.com) on 2014-10-23T20:05:03Z (GMT) No. of bitstreams: 2 Dissertação - Hiuri Fellipe Santos dos Reis - 2013.pdf: 1601406 bytes, checksum: f2663891a9c0968329f2f913ada41d9e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2014-10-23T20:05:03Z (GMT). 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dc.title.por.fl_str_mv Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
dc.title.alternative.eng.fl_str_mv On Locally Conformally Flat Gradient Steady Ricci Solitons
title Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
spellingShingle Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
Reis, Hiuri Fellipe Santos dos
Localmente conformemente flat
Geometria Riemanniana
Sóliton de Ricci
Steady
Locally conformally flat
Riemannian geometry
Ricci soliton
MATEMATICA::ANALISE
title_short Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
title_full Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
title_fullStr Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
title_full_unstemmed Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
title_sort Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat
author Reis, Hiuri Fellipe Santos dos
author_facet Reis, Hiuri Fellipe Santos dos
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 Lima, Barnabé Pessoa
dc.contributor.referee3.fl_str_mv Souza, Marcelo Almeida de
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/9444154235787960
dc.contributor.author.fl_str_mv Reis, Hiuri Fellipe Santos dos
contributor_str_mv Pina, Romildo da Silva
Pina , Romildo da Silva
Lima, Barnabé Pessoa
Souza, Marcelo Almeida de
dc.subject.por.fl_str_mv Localmente conformemente flat
Geometria Riemanniana
Sóliton de Ricci
Steady
topic Localmente conformemente flat
Geometria Riemanniana
Sóliton de Ricci
Steady
Locally conformally flat
Riemannian geometry
Ricci soliton
MATEMATICA::ANALISE
dc.subject.eng.fl_str_mv Locally conformally flat
Riemannian geometry
Ricci soliton
dc.subject.cnpq.fl_str_mv MATEMATICA::ANALISE
description In this work we present a study on locally conformally flat gradient steady Ricci solitons which is based on a Huai Dong-Cao and Qing Chen’s article, where they was classified the n-dimensional (n ≥ 3) complete noncompact locally conformally flat gradient steady Ricci solitons. In particular, we prove that a complete noncompact non-flat locally conformally flat gradient steady Ricci soliton is, up to scaling, the Bryant soliton.
publishDate 2013
dc.date.issued.fl_str_mv 2013-03-22
dc.date.accessioned.fl_str_mv 2014-10-23T20:05:03Z
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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status_str publishedVersion
dc.identifier.citation.fl_str_mv REIS, Hiuri Fellipe Santos dos. Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat. 2013. 83 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2013.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/3453
identifier_str_mv REIS, Hiuri Fellipe Santos dos. Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat. 2013. 83 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2013.
url http://repositorio.bc.ufg.br/tede/handle/tede/3453
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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
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