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Angenent, Sigurd; Brendle, Simon; Daskalopoulos, Panagiota; Šešum, Natasa
Communications on pure and applied mathematics, 20/May , Letnik: 75, Številka: 5Journal Article
We consider compact ancient solutions to the three‐dimensional Ricci flow that are κ‐noncollapsed. We prove that such a solution either is a family of shrinking round spheres or has a unique asymptotic behavior as t → − ∞, which we describe. This analysis applies in particular to the ancient solution constructed by Perelman. © 2020 Wiley Periodicals LLC.
