On the maximal rate of convergence under the Ricci flow

2020/01/05 by Kotschwar, Brett · 1 citation
#53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.01272

Abstract

We estimate from above the rate at which a solution to the normalized Ricci flow on a closed manifold may converge to a limit soliton. Our main result implies that any solution which converges modulo diffeomorphisms to a soliton faster than any fixed exponential rate must itself be self-similar.

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• On the rate of convergence of cylindrical singularity in mean curvature flow

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