| 半对称度量联络的一些性质 |
| |
| 引用本文： | 郑红梅,郝建华.半对称度量联络的一些性质[J].山西师范大学学报,2012(3):1-4. |
| |
| 作者姓名： | 郑红梅 郝建华 |
| |
| 作者单位： | 山西师范大学数学与计算机科学学院 |
| |
| 摘 要： | 讨论了黎曼流形上半对称度量联络与黎曼联络张量之间的关系,令半对称度量联络的特征张量和黎曼联络的度量张量成比例,则张量之间的关系简化,进而得到了一些新的性质。
|
| 关 键 词： | 黎曼流形 半对称度量联络 特征张量 度量张量 |
Some Properties of Semi-symmetric Metric Connection |
| |
| ZHENG Hong-mei,HAO Jian-hua.Some Properties of Semi-symmetric Metric Connection[J].Journal of Shanxi Teachers University,2012(3):1-4. |
| |
| Authors: | ZHENG Hong-mei HAO Jian-hua |
| |
| Institution: | (School of Mathematical and Computer Science, Shanxi Normal University,Linfen 041004,Shanxi,China) |
| |
| Abstract: | The relations between semi-symmetric metric connections and Riemannian connections on the Riemannian manifold is studied,the relations among tensors are simplified if the characteristic tensor of semi-symmetric metric connections is proportional to metric tensor of Riemannian connections,then new properties are derived from the above analysis. |
| |
| Keywords: | riemannian manifold semi-symmetric metric connections characteristic tensor metric tensor |
| 本文献已被 CNKI 维普 等数据库收录！ |
