Geometry of Ricci Solitons

Citation:

Huai-Dong CAO.Geometry of Ricci Solitons[J].Chinese Annals of Mathematics B,2006,27(2):121~142
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Authors:

Huai-Dong CAO;

Foundation:

Partially supported by the John Simon Guggenheim Memorial Foundation and NSF grants DMS-0354621 and DMS-0506084.
Abstract: Ricci solitons are natural generalizations of Einstein metrics on one hand, and are special solutions of the Ricci flow of Hamilton on the other hand. In this paper we survey some of the recent developments on Ricci solitons and the role they play in the singularity study of the Ricci flow.

Keywords:

Ricci soliton, Singularity of Ricci °ow, Stability, Gaussian density

Classification:

53C21, 53C25
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