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Semi-Riemannian manifold with semi-symmetric connections
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-08-03 , DOI: 10.1016/j.geomphys.2021.104341 Elham Zangiabadi 1 , Zohreh Nazari 1
中文翻译:
半对称连接的半黎曼流形
更新日期:2021-08-15
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-08-03 , DOI: 10.1016/j.geomphys.2021.104341 Elham Zangiabadi 1 , Zohreh Nazari 1
Affiliation
In this paper, we first introduce semi-symmetric metric and semi-symmetric non-metric connections on a n-distribution of a -dimensional semi-Riemannian manifold . Then we obtain the Gauss equations and the sectional curvature with respect to these connections. Finally, we give an example of a semi-Riemannian manifold with semi-symmetric metric and non-metric connections.
中文翻译:
半对称连接的半黎曼流形
在本文中,我们首先介绍在半对称度量和半对称非十进制连接ñ -配送 的 维半黎曼流形 . 然后我们获得关于这些连接的高斯方程和截面曲率。最后,我们给出了一个具有半对称度量和非度量连接的半黎曼流形的例子。