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(9月28日)Heat kernel estimate and regularity of Ricci-harmonic flow
来源: 陈黎   发布时间:2017-9-26   阅读次数:358
题目: Heat kernel estimate and regularity of Ricci-harmonic flow

报告人:吴国强(浙江理工大学)

时间:9月28日(周四)上午10:30-11:30
 
地点:工商楼4楼报告厅

摘要:In this talk we discuss Ricci-harmonic flow on which the scalar curvature is bounded. At first, we establish a time derivative bound for solution to the heat equation, based on this, we derive the distance distortion estimate and the existence of a cutoff function. At last we use these to get the heat kernel upper bound and lower bound along Ricci-harmonic flow. Moreover, we can derive the backward pseudolocality Theorem along this flow. As applications, we obtain the L^2 bound of the Riemannian curvature in four dimension.
 Part of the work is joint with Prof Yi Li.
 
联系人:盛为民(shengweimin@zju.edu.cn)
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