On three-dimensional type i κ-solutions to the ricci flow

Yongjia Zhang

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


κ-solutions are very important to the study of Ricci flow since they serve as the finite-time singularity models. With the help of his profound understanding of κ-solutions, Perelman [11] made the major breakthrough in Hamilton’s program. However, three-dimensional κ-solutions are not yet classified until this day. We prove a classification result assuming a Type I curvature bound.

Original languageEnglish (US)
Pages (from-to)4899-4903
Number of pages5
JournalProceedings of the American Mathematical Society
Issue number11
StatePublished - 2018
Externally publishedYes

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Publisher Copyright:
©2018 American Mathematical Society.


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