On the maximal rate of convergence under the Ricci flow
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.
v2: Minor corrections; 20 pages, no figures