Mixed Integral Norms for Ricci Flow
Differential Geometry
2020-01-28 v1 Analysis of PDEs
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.
Cite
@article{arxiv.2001.09920,
title = {Mixed Integral Norms for Ricci Flow},
author = {Gianmichele Di Matteo},
journal= {arXiv preprint arXiv:2001.09920},
year = {2020}
}
Comments
16 pages, 1 figure, comments are welcome!