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Navegando IME - Instituto de Matemática e Estatística por Assunto "1.Matemática-Geometria; 2. Variedade Riemanniana; 3. Ricci Sóliton; 4. Shrinking"
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Item Sólitons de Ricci Shrinking em variedades Riemannianas completas(Universidade Federal de Goiás, 2011-09-02) LEANDRO NETO, Benedito; PINA, Romildo da Silva; http://lattes.cnpq.br/2675728978857991In this work, we started with an historical study of Ricci Solitons showing that they, often, arise as a auto-similar solution for the Ricci flow. It was demonstrated, then, some basic concepts of Riemannian Geometry and a formal definition of a Ricci Solitons. To conclude the work, it was presented a study analysis of the [6] article, establishing , among other results, two theorems: the first one, an estimation for the potential function of a Gradient Shrinking Ricci Solitons, complete non-compact, and, the second one, an estimation for the volume of a Gradient Shrinking Ricci Solitons, complete non-compact.