Bộ môn Giải tích

Time: 
Fri, 04/03/2016 - 09:00
Location: 
P409 T3, Trường ĐH KHTN
Speaker: 
TS. Nguyễn Thạc Dũng (ĐH KHTN)
Title: 
Some splitting theorems on Riemannian manifolds via the p-Laplacian
Content: 

In this talk, we show sharp estimates for the first eigenvalue λ_{1,p} of the weighted p-Laplacian on smooth metric measure spaces (M; g; e^{-f} dv). When the Bakry-Emery curvature Ric_f is bounded from below and the weighted function f is of sublinear growth, we prove some rigidity properties provided that the first eigenvalue is obtained its optimal value.