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

Published Web Location

https://doi.org/10.1007/s00208-016-1494-y
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 R2. As an application, we show that positively curved metrics on S3 and RP3 with almost maximal width must be nearly round.

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