A geometric rigidity theorem for submanifolds with parallel mean curvature and positive curvature in a space form is proved. It is a generalization of the famous rigidity theorems due to S. T. Yau and others.
基金Supported by the National Natural Science Founation of China（10231010）Trans-Century Training. Programme Foundation for Talents by the Ministry of Education of China and the Natural Science Foundation of Zhejiang Province（101037）.
文摘A geometric rigidity theorem for submanifolds with parallel mean curvature and positive curvature in a space form is proved. It is a generalization of the famous rigidity theorems due to S. T. Yau and others.
