| 常拟常曲率黎曼流形中具有常数量曲率的紧致超曲面 |
| |
| 引用本文： | 李明图,裴瑞昌,丁恒飞.常拟常曲率黎曼流形中具有常数量曲率的紧致超曲面[J].甘肃联合大学学报(自然科学版),2011,25(3):19-21,29. |
| |
| 作者姓名： | 李明图 裴瑞昌 丁恒飞 |
| |
| 作者单位： | 天水师范学院,数学与统计学院,甘肃,天水,741001 |
| |
| 摘 要： | 讨论常拟常曲率黎曼流形中具有常数量曲率的紧致超曲面.在超曲面和单位向量场ξ相切时,得到了关于这类超曲面的一个间隙定理.
|
| 关 键 词： | 拟常曲率黎曼流形 单位向量场 数量曲率 超曲面 全脐 |
Compact Hypersurfaces with Constant Scalar Curvature in the Riemannian Manifolds of Constant-quasi-constant Curvature |
| |
| LI Ming-tu,PEI Rui-chang,DING Heng-fei.Compact Hypersurfaces with Constant Scalar Curvature in the Riemannian Manifolds of Constant-quasi-constant Curvature[J].Journal of Gansu Lianhe University :Natural Sciences,2011,25(3):19-21,29. |
| |
| Authors: | LI Ming-tu PEI Rui-chang DING Heng-fei |
| |
| Institution: | (School of Mathematics and Statistics,Tianshui Normal College,Tianshui 741001,China) |
| |
| Abstract: | In this paper,we discuss the compact hypersurface with constant scalar curvature in riemannian manifolds of Constant-quasi-constant Curvature,and a classification theorem of the hypersurface was obtained. |
| |
| Keywords: | riemannian manifold of quasi-constant curvature unit vector field scalarcurvature hypersurface totally umbilical |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
