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

Richard H. Bamler; Davi Maximo

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

Differential Geometry 2015-06-11 v1 Analysis of PDEs

Authors: Richard H. Bamler , Davi Maximo

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.

Keywords

ricci flow almost rigidity extinction time positive isotropic curvature positively curved metric 3-sphere real projective space

Cite

@article{arxiv.1506.03421,
  title  = {Almost-rigidity and the extinction time of positively curved Ricci flows},
  author = {Richard H. Bamler and Davi Maximo},
  journal= {arXiv preprint arXiv:1506.03421},
  year   = {2015}
}

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