An $\epsilon$-Regularity Theorem for Non-collapsed Ricci Flow
Differential Geometry
2025-10-24 v2
Abstract
In this article we prove an -regularity theorem for non-collapsed Ricci flows, and use this to prove new estimates for singularity models of Fano K\"ahler-Ricci flows. In the course of our proof, we find a criterion for uniform convergence of solutions to the heat equation along a sequence of -converging Ricci flows, and apply this to new parabolic regularizations of some natural geometric quantities.
Cite
@article{arxiv.2509.14154,
title = {An $\epsilon$-Regularity Theorem for Non-collapsed Ricci Flow},
author = {Harry Fluck and Max Hallgren},
journal= {arXiv preprint arXiv:2509.14154},
year = {2025}
}