摘要
For a closed hypersurface Mn?Sn+1(1)with constant mean curvature and constant non-negative scalar curvature,we show that if tr(Ak)are constants for k=3,...,n-1 and the shape operator A,then M is isoparametric.The result generalizes the theorem of de Almeida and Brito(1990)for n=3 to any dimension n,strongly supporting the Chern conjecture.
基金
supported by National Natural Science Foundation of China (Grant Nos.11722101,11871282 and 11931007)
Beijing Natural Science Foundation (Grant No.Z190003)
Nankai Zhide Foundation。
