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Uniqueness of compact ancient solutions to the higher dimensional Ricci flow (2102.07180v1)
Published 14 Feb 2021 in math.DG
Abstract: In this paper, we study the classification of $\kappa$-noncollapsed ancient solutions to n-dimensional Ricci flow on $Sn$, extending the result in [13] to higher dimensions. 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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