Calculus of Variations and Geometric Measure Theory

G. Di Matteo

Mixed Integral Norms for Ricci Flow

created by dimatteo on 01 Sep 2020

[BibTeX]

Published Paper

Inserted: 1 sep 2020
Last Updated: 1 sep 2020

Journal: Journal of Geometric Analysis
Year: 2020
Doi: https://doi.org/10.1007/s12220-020-00456-5

ArXiv: 2001.09920 PDF
Links: Journal Version

Abstract:

We prove that a Ricci flow cannot develop a finite time singularity assuming the boundedness of a suitable space-time integral norm of the curvature tensor. Moreover, the extensibility of the flow is proved under a Ricci lower bound and the boundedness of a space-time integral norm of the scalar curvature.