supported in part by National Natural Science Foundation of China No.12031012,No.12171313;the Institute of Modern Analysis-A Frontier Research Center of Shanghai;supported in part by the Natural Science Foundation of China(Grant No.11871331);Shanghai Science and Technology Innovation Action Plan(Grant No.20JC1413100).
We analyze complete manifolds with boundary which admit solutions to Obata type equations▽^(2)f-fg=0 and▽^(2)f=g under various boundary condition-s.Given the existence of interior critical points,such manifolds are ...
On July 27,Ouyang Zhuo,who lives on Shouyi Road,Wuchang District,received an admission letter from Peking University.Ouyang was diagnosed with moderate to severe neurological hearing loss in both ears when he was thre...