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

Sigurd Angenent, Simon Brendle, Panagiota Daskalopoulos, Natasa Šešum

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
JournalCommunications on Pure and Applied Mathematics
DOIs
StateAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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