Examples of Ricci Solitons

Abstract

In this survey paper, we discuss various examples of Ricci solitons and their constructions. Some open questions related to the rigidity and classification of Ricci solitons will be also discussed through those examples.

Keywords

Ricci flow / Ricci soliton / ancient solution / singularity model

Acknowledgements

The authors would like to thank the referees for many valuable comments and suggestions on improving their paper.

The work is partially supported by National Key R&D Programs of China (Grant Nos. 2023YFA1009900 and 2020YFA0712800), and National Natural Science Foundation of China (Grant No. 12271009).

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