局部对称拟常曲率空间中的紧致子流形  

The Compact Sub-manifolds with Paralleled Mean Curvature Vector in Quasi Constant Curvature Riemannian Manifold

作　　者：朱敏华 陈芳 

机构地区：[1]青田县山口镇中学,浙江温州323900

出　　处：《湖州师范学院学报》2008年第1期25-28,共4页Journal of Huzhou University

摘　　要：设Nn+p是n+p维局部对称完备的拟常曲率黎曼流形.Mn是Nn+p中具有平行平均曲率向量的紧致子流形.讨论并给出了这类子流形关于第二基本形式模长平方σ的Pinching定理.Let N^n＋p be an n＋p -dimensional locally symmetric complete quasi- constant curvature Riemannian manifold and M^n be an n - dimensional compact sub - manifold in M^n＋p with paralleled mean curvature vector. In this paper, we discuss the Pinching theorem about these manifolds with the square of the length of the second fundamemtal form.

关 键 词：拟常曲率 平行平均曲率 全测地 

分 类 号：O186.12[理学—数学]