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Geometry of Ricci Solitons |
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Citation: |
Huai-Dong CAO.Geometry of Ricci Solitons[J].Chinese Annals of Mathematics B,2006,27(2):121~142 |
Page view: 0
Net amount: 933 |
Authors: |
Huai-Dong CAO; |
Foundation: |
Partially supported by the John Simon Guggenheim Memorial Foundation and NSF grants DMS-0354621
and DMS-0506084. |
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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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