12-12【Jianyu Ou】Liouville Properties on gradient shrinking Ricci solitons with constant scalar curvature

Time:2023-10-30Views:10

Speaker:  Jianyu Ou(Xiamen University)

Time: 14:00-15:00, Dec 12, 2023

Room: Room 414, Shanghai Institute for Advanced Studies, USTC 


    

In this talk we introduce some frequency functions on gradient shrinking Ricci solitons, and show that all bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC. As an application, we show that the space of harmonic functions with polynomial growth has finite dimension. This talk is based on the joint work with Weixiong Mai.