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论文类型：期刊论文

发表时间：2015-01-01

发表刊物：Vietnam Journal of Mathematics

收录刊物：Scopus

卷号：43

期号：4

页面范围：705-723

ISSN号：2305221X

摘要：By Moving Frame Method, we firstly derive some Simons type equations for an n-dimensional submanifold Mn with parallel mean curvature vector field    in (Formula presented.) , where Mm(c) is an m-dimensional space form of constant sectional curvature c and obtain a lower bound of the squared norm of the covariant differential of the second fundamental form h of Mn. Then, we use these results to prove some gap theorems on |h|2 and |?|2=|h|2?n|  |2. ? 2015, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.