Sólitons de Ricci Shrinking em variedades Riemannianas completas
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Data
2011-09-02
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Universidade Federal de Goiás
Resumo
In 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.
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Citação
LEANDRO NETO, Benedito. Complete Gradient Shrinking Ricci Soliton. 2011. 89 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.