Title：Harmonic forms on submanifolds and related problems

Speaker：潮小李  （东南大学） 

Time：2019年4月25日     下午 16:00-17:00

Room：东区管理科研楼  0029cc金沙贵宾会1318室

Abstract：In this talk, we deal with harmonic forms on complete submanifolds with weighted Poincar/'{e} inequality. By supposing submanifold is stable or has sufficiently small total curvature or finite index, we establish some vanishing and finiteness theorems for $L^p$ harmonic $q$-forms. Moreover, we will summarize some problems related harmonic forms, e.g. index of minimal hypersurfaces.