考虑球面中具有平行单位平均曲率向量的完备子流形Mn,利用广义极大值原理证明了若Mn的第二基本形模长平方S满足适当的上界条件,则Mn是全脐子流形.%Complete submanifolds with parallel normalized mean curvature vector in spheres are studied. By using the generalized maximal principle, the sufficient condition for submanifolds being a totally umbilical ones is obtained.
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