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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.
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Angenent et al. (2020) studied this question.
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