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arXiv · 0902.1158

Classification of compact ancient solutions to the Ricci flow on surfaces

Panagiota Daskalopoulos·Richard Hamilton·Natasa Sesum
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Abstract

We consider an ancient solution $g(\cdot,t)$ of the Ricci flow on a compact surface that exists for $t\in (-\infty,T)$ and becomes spherical at time $t=T$. We prove that the metric $g(\cdot,t)$ is either a family of contracting spheres, which is a type I ancient solution, or a Rosenau solution, which is a type II ancient solution.

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Panagiota Daskalopoulos, Richard Hamilton, Natasa Sesum. 2009-02-06. Classification of compact ancient solutions to the Ricci flow on surfaces. https://arxiv.org/abs/0902.1158

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