2014-07-292012-04-092011-09-02LEANDRO NETO, Benedito. Complete Gradient Shrinking Ricci Soliton. 2011. 89 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.http://repositorio.bc.ufg.br/tede/handle/tde/1949In 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.application/pdfAcesso AbertoVariedade RiemannianaRicci SólitonShrinkingRiemannian ManifoldRicci SolitonShrinking1.Matemática-Geometria; 2. Variedade Riemanniana; 3. Ricci Sóliton; 4. ShrinkingCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICADissertação