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

Research output: Contribution to journalArticle

Abstract

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
Volume146
Issue number11
DOIs
StatePublished - Jan 1 2018
Externally publishedYes

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Finite-time Singularities
Ricci Flow
Curvature
Three-dimensional
Model

Cite this

On three-dimensional type i κ-solutions to the ricci flow. / Zhang, Yongjia.

In: Proceedings of the American Mathematical Society, Vol. 146, No. 11, 01.01.2018, p. 4899-4903.

Research output: Contribution to journalArticle

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