局部对称拟常曲率黎曼流形中的紧致子流形

On Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Quasi-constant Riemannian manifold

讨论了局部对称拟常曲率流形具有单位平行平均曲率向量的紧致子流形,通过一个代数引理,得到了关于第二基本形式模长平方σ的一个拼挤定理,改进了已有的结果.

In this paper, we discuss Submanifolds with parallel mean curvature vector in locally symmetric quasiconstant Riemannian manifold, by using a algebraic inequality, we obtain a upper bound to the norm of the second fundamental form, which is being to improve the known result.