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arXiv · 1907.01928

Uniqueness of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow

Panagiota Daskalopoulos·Natasa Sesum
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Abstract

In this paper we study the classification of compact $\kappa$-noncollapsed ancient solutions to the 3-dimensional Ricci flow which are rotationally and reflection symmetric. We prove that any such solution is isometric to the sphere or the type II ancient solution constructed by G. Perelman.

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Panagiota Daskalopoulos, Natasa Sesum. 2019-07-02. Uniqueness of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow. https://arxiv.org/abs/1907.01928

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