Variedades quasi-Einstein localmente conformemente planas

Detalhes bibliográficos
Autor(a) principal: Menezes, I. F.
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/6480
Resumo: This work is based on [10] and aims to classify quasi-Einstein manifolds that are locally conformally flat. We prove that every complete, locally conformally flat, quasi-Einstein manifold, with dimension n ≥ 3, is either globally conformally equivalent to spaceform or locally the warped product, R×Ffn−1, in which the fiber has constant curvature.
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spelling Pina, R. S.http://lattes.cnpq.br/2675728978857991Pina, R. S.http://lattes.cnpq.br/2675728978857991Pietrezack, Maurício DonizettiSantos, João Paulo doshttp://lattes.cnpq.br/7371176883209596Menezes, I. F.2016-11-09T17:13:57Z2016-10-14MENEZES, I. F. Variedades quasi-Einstein localmente conformemente planas. 2016. 73 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.http://repositorio.bc.ufg.br/tede/handle/tede/6480This work is based on [10] and aims to classify quasi-Einstein manifolds that are locally conformally flat. We prove that every complete, locally conformally flat, quasi-Einstein manifold, with dimension n ≥ 3, is either globally conformally equivalent to spaceform or locally the warped product, R×Ffn−1, in which the fiber has constant curvature.Este trabalho está baseado em [10] e tem por objetivo classificar variedades quasi- Einstein que são localmente conformemente planas. Provamos que toda variedade quasi- Einstein localmente conformente plana, completa e de dimensão n ≥ 3 é globalmente conformemente equivalente a um dos espaços modelos ou é localmente o produto torcido R×Ffn−1 onde a fibra tem curvatura constante.Submitted by Jaqueline Silva (jtas29@gmail.com) on 2016-11-09T17:13:45Z No. of bitstreams: 2 Dissertação - Ilton Ferreira de Menezes - 2016.pdf: 1261743 bytes, checksum: d8e7ce96b09f78e6c7a8c4d534a9d401 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Jaqueline Silva (jtas29@gmail.com) on 2016-11-09T17:13:57Z (GMT) No. of bitstreams: 2 Dissertação - Ilton Ferreira de Menezes - 2016.pdf: 1261743 bytes, checksum: d8e7ce96b09f78e6c7a8c4d534a9d401 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2016-11-09T17:13:57Z (GMT). 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dc.title.por.fl_str_mv Variedades quasi-Einstein localmente conformemente planas
dc.title.alternative.eng.fl_str_mv Manifold quasi-Einstein locally conformally flat
title Variedades quasi-Einstein localmente conformemente planas
spellingShingle Variedades quasi-Einstein localmente conformemente planas
Menezes, I. F.
Variedades quasi-Einstein
Produto tocido
Ricci solitons
Manifold quasi-Einstein
Product warped
Ricci solitons
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Variedades quasi-Einstein localmente conformemente planas
title_full Variedades quasi-Einstein localmente conformemente planas
title_fullStr Variedades quasi-Einstein localmente conformemente planas
title_full_unstemmed Variedades quasi-Einstein localmente conformemente planas
title_sort Variedades quasi-Einstein localmente conformemente planas
author Menezes, I. F.
author_facet Menezes, I. F.
author_role author
dc.contributor.advisor1.fl_str_mv Pina, R. S.
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2675728978857991
dc.contributor.referee1.fl_str_mv Pina, R. S.
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/2675728978857991
dc.contributor.referee2.fl_str_mv Pietrezack, Maurício Donizetti
dc.contributor.referee3.fl_str_mv Santos, João Paulo dos
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/7371176883209596
dc.contributor.author.fl_str_mv Menezes, I. F.
contributor_str_mv Pina, R. S.
Pina, R. S.
Pietrezack, Maurício Donizetti
Santos, João Paulo dos
dc.subject.por.fl_str_mv Variedades quasi-Einstein
Produto tocido
Ricci solitons
topic Variedades quasi-Einstein
Produto tocido
Ricci solitons
Manifold quasi-Einstein
Product warped
Ricci solitons
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Manifold quasi-Einstein
Product warped
Ricci solitons
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description This work is based on [10] and aims to classify quasi-Einstein manifolds that are locally conformally flat. We prove that every complete, locally conformally flat, quasi-Einstein manifold, with dimension n ≥ 3, is either globally conformally equivalent to spaceform or locally the warped product, R×Ffn−1, in which the fiber has constant curvature.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-11-09T17:13:57Z
dc.date.issued.fl_str_mv 2016-10-14
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 MENEZES, I. F. Variedades quasi-Einstein localmente conformemente planas. 2016. 73 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/6480
identifier_str_mv MENEZES, I. F. Variedades quasi-Einstein localmente conformemente planas. 2016. 73 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.
url http://repositorio.bc.ufg.br/tede/handle/tede/6480
dc.language.iso.fl_str_mv por
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600
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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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