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On three-dimensional Type I $ \kappa$-solutions to the Ricci flow


Author: Yongjia Zhang
Journal: Proc. Amer. Math. Soc. 146 (2018), 4899-4903
MSC (2010): Primary 53C44
DOI: https://doi.org/10.1090/proc/14133
Published electronically: June 29, 2018
MathSciNet review: 3856156
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Abstract: $ \kappa $-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 $ \kappa $-solutions, Perelman [11] made the major breakthrough in Hamilton's program. However, three-dimensional $ \kappa $-solutions are not yet classified until this day. We prove a classification result assuming a Type I curvature bound.


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Additional Information

Yongjia Zhang
Affiliation: Department of Mathematics, University of California, San Diego, California 92093
Email: yoz020@ucsd.edu

DOI: https://doi.org/10.1090/proc/14133
Received by editor(s): October 19, 2017
Received by editor(s) in revised form: February 13, 2018
Published electronically: June 29, 2018
Communicated by: Guofang Wei
Article copyright: © Copyright 2018 American Mathematical Society