Uniqueness of compact ancient solutions to three-dimensional Ricci flow

Published 27 Feb 2020 in math.DG and math.AP | (2002.12240v2)

Abstract: In this paper, we study the classification of $\kappa$-noncollapsed ancient solutions to three-dimensional Ricci flow on $S^3$. We prove that such a solution is either isometric to a family of shrinking round spheres, or the Type II ancient solution constructed by Perelman.

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