Pinching estimates for solutions of the linearized Ricci flow system in higher dimensions
Differential Geometry
2016-02-19 v3
Abstract
We prove pinching estimates for solutions of the linearized Ricci flow system on a closed manifold of dimension with positive scalar curvature and vanishing Weyl tensor. If the vanishing Weyl tensor condition is removed, we only give a rough pinching estimate controlled by some blow-up function in a short time. These results extend the -dimensional case due to Anderson and Chow (2005) \cite{[AC]}.
Keywords
Cite
@article{arxiv.1303.7170,
title = {Pinching estimates for solutions of the linearized Ricci flow system in higher dimensions},
author = {Jia-Yong Wu and Jian-Biao Chen},
journal= {arXiv preprint arXiv:1303.7170},
year = {2016}
}
Comments
Final version, two examples are added, to appear in Differential Geom. Appl