On the maximal rate of convergence under the Ricci flow
Differential Geometry
2020-09-09 v2 Analysis of PDEs
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.
Cite
@article{arxiv.2001.01272,
title = {On the maximal rate of convergence under the Ricci flow},
author = {Brett Kotschwar},
journal= {arXiv preprint arXiv:2001.01272},
year = {2020}
}
Comments
v2: Minor corrections; 20 pages, no figures