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arXiv · 1802.09506

Relative volume comparison of Ricci Flow and its applications

Gang Tian·Zhenlei Zhang
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Abstract

In this paper, we derive a relative volume comparison estimate along Ricci flow and apply it to studying the Gromov-Hausdorff convergence of K\"ahler-Ricci flow on a minimal manifold. This new estimate generalizes Perelman's no local collapsing estimate and can be regarded as an analogue of the Bishop-Gromov volume comparison for Ricci flow.

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Gang Tian, Zhenlei Zhang. 2018-02-26. Relative volume comparison of Ricci Flow and its applications. https://arxiv.org/abs/1802.09506

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