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Curvature estimates of the Ricci flow based on Ricci curvature-Chih-Wei Chen 陳志偉 (National Center for Theoretical Sciences)

题目:Curvature estimates of the Ricci flow based on Ricci curvature

报告人: Chih-Wei Chen 陳志偉 (National Center for Theoretical Sciences)

Abstract: We construct a uniform local bound of curvature operator from local bounds of Ricci curvature and injectivity radius among all n-dimensional Ricci flows. Thus new compactness theorems for the Ricci flow and Ricci solitons are derived. As an application, we show that every Ricci flow with |Ric| ≤ K must satisfy |Rm| ≤ C/t for all t in (0,T), where C depends only on the dimension n, and T depends on K and the harmonic radius harg(t).

时间:2017年6月29日(周四) 4:00-5:00

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