Almost-rigidity and the extinction time of positively curved Ricci flows

Richard H. Bamler; Davi Maximo

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arXiv · 1506.03421

Almost-rigidity and the extinction time of positively curved Ricci flows

Richard H. Bamler·Davi Maximo

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Abstract

We prove that Ricci flows with almost maximal extinction time must be nearly round, provided that they have positive isotropic curvature when crossed with $\mathbb{R}^{2}$. As an application, we show that positively curved metrics on $S^{3}$ and $RP^{3}$ with almost maximal width must be nearly round.

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Richard H. Bamler, Davi Maximo. 2015-06-10. Almost-rigidity and the extinction time of positively curved Ricci flows. https://arxiv.org/abs/1506.03421

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