拟常曲率黎曼流形中具有平行平均曲率向量的子流形

Submanifolds with Parallel Mean Curvature Vector in a Riemannian Manifold of Quasi Constant Curvature

讨论了拟常曲黎曼流形中具有平行平均曲率向量的等距浸入子流形 ,给出了一个积分不等式 ,推广和改进了文献 [1,2 ]的结果 .

In this paper, we study the isometric immersion submanifolds with parallel mean curvature vector in a Riemannian Manifold of quasi constant curvature, we also give an integral inequality,and improve the results in[1]、[2].