An ε-regularity theorem for Perelman's reduced volume

2025/02/21 by Cheng, Liang, Zhang, Yongjia
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.15219

Abstract

In this article, we prove an ε-regularity theorem for Perelman's reduced volume. We show that on a Ricci flow, if Perelman's reduced volume is close to 1, then the curvature radius at the base point cannot be too small.

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