On three-dimensional Type I $\kappa$-solutions to the Ricci flow
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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.References
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Additional Information
- Yongjia Zhang
- Affiliation: Department of Mathematics, University of California, San Diego, California 92093
- MR Author ID: 1287775
- Email: yoz020@ucsd.edu
- 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
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 4899-4903
- MSC (2010): Primary 53C44
- DOI: https://doi.org/10.1090/proc/14133
- MathSciNet review: 3856156