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Geometry of Ricci Solitons*

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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.

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  1. Department of Mathematics, Lehigh University, Bethlehem, PA 18015, USA

    Huai-Dong Cao

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Correspondence to Huai-Dong Cao.

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(Dedicated to the memory of Shiing-Shen Chern)

* Partially supported by the John Simon Guggenheim Memorial Foundation and NSF grants DMS-0354621 and DMS-0506084.

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Cao, HD. Geometry of Ricci Solitons*. Chin. Ann. Math. Ser. B 27, 121–142 (2006). https://doi.org/10.1007/s11401-005-0379-2

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  • DOI: https://doi.org/10.1007/s11401-005-0379-2

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