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Nguyen Thac Dung

2012-03-29
15:30:00 - 16:30:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, by using Bochner technique and Li-Wang's method, we give some splitting and vanishing theorems on smooth metric measure space. We assume that smooth metric measure space satisfies a weighted Poincare inequalities and m-dimensional Bakry-Emery curvature bounded from below in terms of the weighted function, then we get splitting and vanishing theorem on such a space. Our results generalize some work of Li-Wang, Munteanu-Wang and others. This talk bases on a joint work with Prof. C. J. Sung.