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arXiv · 2002.12240

Uniqueness of compact ancient solutions to three-dimensional Ricci flow

Simon Brendle·Panagiota Daskalopoulos·Natasa Sesum
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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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Simon Brendle, Panagiota Daskalopoulos, Natasa Sesum. 2020-02-27. Uniqueness of compact ancient solutions to three-dimensional Ricci flow. https://doi.org/10.1007/s00222-021-01054-0

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