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arXiv · 1911.00091

Unique Asymptotics of Compact Ancient Solutions to three-dimensional Ricci flow

Sigurd Angenent·Simon Brendle·Panagiota Daskalopoulos·Natasa Sesum
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Abstract

We consider compact ancient solutions to the three-dimensional Ricci flow which are noncollapsed. We prove that such a solutions is either a family of shrinking round spheres, or it has a unique asymptotic behavior as $t \to -\infty$ which we describe. This analysis applies in particular to the ancient solution constructed by Perelman.

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Sigurd Angenent, Simon Brendle, Panagiota Daskalopoulos, Natasa Sesum. 2021-07-24. Unique Asymptotics of Compact Ancient Solutions to three-dimensional Ricci flow. https://arxiv.org/abs/1911.00091

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