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arxiv: 1802.09506 · v2 · pith:3T6GOCPPnew · submitted 2018-02-26 · 🧮 math.DG

Relative volume comparison of Ricci Flow and its applications

classification 🧮 math.DG
keywords flowcomparisonestimatericcivolumerelativeahler-riccialong
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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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