论文标题

超级扭曲的产品

Super twisted products

论文作者

Wu, Tong, Wang, Yong, Wang, Xue

论文摘要

在本文中,我们定义了Super Riemannian歧管上的$ W_2 $ - 毛vature张量。我们计算了超级扭曲产品空间上的曲率张量,RICCI张量和$ W_2 $ curvature Tensor。此外,我们研究了$ W_2 $ - 毛毛的扁平超级扭曲产品歧管。而且,我们得到的结果是,混合的ricci-flat超级扭曲产品半河流歧管可以表示为超级扭曲的产品半侵入歧管。

In this paper, we define the $W_2$-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the $W_2$-curvature tensor on super twisted product spaces. Furthermore, we investigate the $W_2$-curvature flat super twisted product manifolds. And, we get a result that a mixed Ricci-flat super twisted product semi-Riemannian manifold can be expressed as a super warped product semi-Riemannian manifold.

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