| 关于黎曼流形的1/4对称度量联络 |
| |
| 引用本文： | 李建华.关于黎曼流形的1/4对称度量联络[J].东北大学学报(自然科学版),1988(1). |
| |
| 作者姓名： | 李建华 |
| |
| 作者单位： | 东北工学院数学系 |
| |
| 摘 要： | 本文在黎曼流形为紧致可定向的假设下,给出了关于黎曼联络和1/4对称度量联络的数量曲率之间关系的一个积分公式及其某些应用。同时研究了1/4对称度量联络的曲率张量、利齐张量和数量曲率的性质,给出 C.C.Hwang和 C.Y.Ma的一个定理的推广。
|
| 关 键 词： | 紧致可定向黎曼流形 黎曼联络 1/4对称度量联络 |
On the Quarter-Symmetric Metric Connections in Riemannian Manifolds |
| |
| Li Jianhua.On the Quarter-Symmetric Metric Connections in Riemannian Manifolds[J].Journal of Northeastern University(Natural Science),1988(1). |
| |
| Authors: | Li Jianhua |
| |
| Abstract: | Under the assumption that Riemannian manifolds are compact and orientable, an integral formula is given to express the relation between the scalar curvature of Riemannian connections and that of quarter-symmetric metric connections, with its applications involved. Some properties of curvature tensor, Ricci tensor and scalar curvature of quarter-symmetric metric connections are studied and the theorem obtained by Hwang C. C. and Ma C. Y. thus generalized. |
| |
| Keywords: | compact orientable Riemannian manifolds Riemannian connection quarter symmetric metric connection |
| 本文献已被 CNKI 等数据库收录！ |
