Geometry of Ricci Solitons*

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 flow / Stability / Gaussian density / 53C21 / 53C25

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