Gradiente ricci solitons e variedades de Einstein com métrica produto torcido

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Bibliographic Details
Main Author:	Batista, Elismar Dias
Publication Date:	2016
Format:	Master thesis
Language:	por
Source:	Repositório Institucional da UFG
Download full:	http://repositorio.bc.ufg.br/tede/handle/tede/5693
Summary:	This work is based on the articles [26] and [27], where we studied Einstein manifolds and gradient Ricci soliton with twisted product structure. As a result, we prove the following: if M is an Einstein warped product space with nonpositive scalar curvature and compact base, then M is a Riemannian product space. Besides, we show that the Riemannian product Rp×F is a gradient Ricci soliton if and only if F is Ricci soliton gradient. Then, we show that the warped product R×f B is gradient Ricci solitons with f ′′ 6= 0, therefore F is Einstein. By using these results, we build nontrivial examples of gradient Ricci soliton where the fiber is either an Einstein manifold or a nontrivial gradient Ricci soliton.

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