On three-dimensional Type I 𝜅-solutions to the Ricci flow

Zhang, Yongjia

doi:10.1090/proc/14133

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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