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arXiv · 1303.4492

Mean Value Inequalities and Conditions to Extend Ricci Flow

Xiaodong Cao·Hung Tran
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Abstract

This paper concerns conditions related to the first finite singularity time of a Ricci flow solution on a closed manifold. In particular, we provide a systematic approach to the mean value inequality method, suggested by N. Le and F. He. We also display a close connection between this method and time slice analysis of B. Wang. As an application, we prove several inequalities for a Ricci flow solution on a manifold with nonnegative isotropic curvature.

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Xiaodong Cao, Hung Tran. 2013-03-19. Mean Value Inequalities and Conditions to Extend Ricci Flow. https://arxiv.org/abs/1303.4492

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