Abstract
We consider an ancient solution $g(•, t)$ 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 $g(•, t)$ is either a family of contracting spheres, which is a type I ancient solution, or a King–Rosenau solution, which is a type II ancient solution.
Citation
Panagiota Daskalopoulos. Richard Hamilton. Natasa Sesum. "Classification of ancient compact solutions to the Ricci flow on surfaces." J. Differential Geom. 91 (2) 171 - 214, June 2012. https://doi.org/10.4310/jdg/1344430821
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