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license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)
Previous issue date: 2013-03-22 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / 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. / 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.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.bc.ufg.br:tede/3453 |
| Date | 22 March 2013 |
| Creators | Reis, Hiuri Fellipe Santos dos |
| Contributors | Pina, Romildo da Silva, Pina , Romildo da Silva, Lima, Barnabé Pessoa, Souza, Marcelo Almeida de |
| Publisher | Universidade Federal de Goiás, Programa de Pós-graduação em Matemática (IME), UFG, Brasil, Instituto de Matemática e Estatística - IME (RG) |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UFG, instname:Universidade Federal de Goiás, instacron:UFG |
| Rights | http://creativecommons.org/licenses/by-nc-nd/4.0/, info:eu-repo/semantics/openAccess |
| Relation | 6600717948137941247, 600, 600, 600, 600, -4268777512335152015, -713664642194004237, 2075167498588264571 |
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