Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection
Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection
复制标题
半对称非度量连接的半黎曼流形中的类光超曲面
DOI：
10.7146/math.scand.a-15061
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
A. Yücesan
中科院分区：
文献类型：
--
作者：
Erol Yaşar;A. C. Çöken;A. Yücesan
本文研究了半黎曼流形上具有半对称非度量联络的类光超曲面。我们给出了高斯方程和科达齐方程。然后，我们得到的条件下的Ricci张量对称的类光超曲面的周围空间配备了一个半对称的非度量联络。
In this paper, we study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We give the equations of Gauss and Codazzi. Then, we obtain conditions under which the Ricci tensor of a lightlike hypersurface is symmetric given that the ambient space is equipped with a semi-symmetric non-metric connection.