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arXiv · 1303.7170

Pinching estimates for solutions of the linearized Ricci flow system in higher dimensions

Jia-Yong Wu·Jian-Biao Chen
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Abstract

We prove pinching estimates for solutions of the linearized Ricci flow system on a closed manifold of dimension $n\geq 4$ 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 $3$-dimensional case due to Anderson and Chow (2005) \cite{[AC]}.

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Jia-Yong Wu, Jian-Biao Chen. 2013-03-28. Pinching estimates for solutions of the linearized Ricci flow system in higher dimensions. https://arxiv.org/abs/1303.7170

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