## K-Yamabe Problems

Weimin Sheng (Zhejiang University)

Abstract

In this talk, I will report the progress of the study on high order Yamabe problem (k-Yamabe problem). The emphasis of my talk will be on the existence of $$k=2$$ case, the admissibility on closed manifolds; and the existence and compactness for $$k\ge n/2$$ case on compact manifolds with boundary.