$L^1$ curvature bounds for Type I Ricci flows
Differential Geometry
2025-10-28 v1 Analysis of PDEs
Abstract
We show -bounds of the Riemann curvature tensor on a smooth closed -dimensional Ricci flow. To achieve this we introduce the notion of a neck of maximal symmetry, similar to the one in Cheeger-Jiang-Naber and Jiang-Naber and establish a decomposition result by balls with uniform curvature bounds that satisfy an appropriate -content estimate.
Cite
@article{arxiv.2510.22660,
title = {$L^1$ curvature bounds for Type I Ricci flows},
author = {Panagiotis Gianniotis and Konstantinos Leskas},
journal= {arXiv preprint arXiv:2510.22660},
year = {2025}
}
Comments
34 pages. Comments are welcome