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Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow

Sigurd Angenent, Simon Brendle, Panagiota Daskalopoulos, Natasa Šešum

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Source: Crossref

Published: Oct 16, 2020

DOI: 10.1002/cpa.21955

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Abstract 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.

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Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow — Mathematical Frontier Network