An $\epsilon$-regularity theorem for Perelman's reduced volume
Differential Geometry
2025-02-24 v1
Abstract
In this article, we prove an -regularity theorem for Perelman's reduced volume. We show that on a Ricci flow, if Perelman's reduced volume is close to , then the curvature radius at the base point cannot be too small.
Cite
@article{arxiv.2502.15219,
title = {An $\epsilon$-regularity theorem for Perelman's reduced volume},
author = {Liang Cheng and Yongjia Zhang},
journal= {arXiv preprint arXiv:2502.15219},
year = {2025}
}