报告人：吴波教授 （复旦大学数学科学学院）

报告题目：Pointwise Characterizations of Curvature and Second Fundamental Form on Riemannian Manifolds

报告摘要：Let $M$ be a complete Riemannian manifold possibly with a boundary $/pp M$. For any $C^1$-vector field $Z$, by using gradient/functional inequalities of the (reflecting)

diffusion process generated by $L:=/DD+Z$, pointwise characterizations are presented for the Bakry-Emery curvature of $L$ and the second fundamental form of $/pp M$ if exists.  

These extend and strengthen the recent results derived by A. Naber for the uniform norm $/|/Ric_Z/|_/infty$ on manifolds without boundary. A key point of the present study 

is to apply the asymptotic formulas for these two tensors found by the first named author, such that the proofs are significantly simplified.

This is a joint work with Professor Fengyu Wang,

时间：2019年9月2日 10:00-11:00

地点：尚贤楼808报告厅

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