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

Yongjia Zhang

doi:10.1090/proc/14133

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

Yongjia Zhang

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	4899-4903
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	11
DOIs	https://doi.org/10.1090/proc/14133
State	Published - 2018
Externally published	Yes

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©2018 American Mathematical Society.

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AB - 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.

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

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