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Journal of Mathematical Study
Article . 2025 . Peer-reviewed
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Examples of Ricci Solitons

Examples of Ricci solitons
descriptionPublicationkeyboard_double_arrow_right Article 31 Mar 2025Publisher:Global Science PressJournal:Journal of Mathematical Study, volume 58, pages 82-95 (issn: 2096-9856, eissn: 2617-8702, Copyright policy )
Authors: Zhao, Ziyi; Zhu, Xiaohua;

doi: 10.4208/jms.v58n1.25.05

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

Special Riemannian manifolds (Einstein, Sasakian, etc.), Elliptic equations on manifolds, general theory, Ricci flows, Ricci flow, singularity model, ancient solution, Global Riemannian geometry, including pinching, Ricci soliton

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold