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Sólitons de Ricci Gradiente Steady Localmente Conformemente Flat / On Locally Conformally Flat Gradient Steady Ricci SolitonsReis, Hiuri Fellipe Santos dos 22 March 2013 (has links)
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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.
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