论文标题
奇异型扭曲产品和奇异扭曲产品的仿射连接
Affine connections on singular multiply warped products and singular twisted products
论文作者
论文摘要
在本文中，我们将结果推广到[Y。王：奇异扭曲产品的仿射连接。 int。 J. Geom。方法mod。物理。 18（5），2150076，（2021）。我们通过半对称度量的连接和半对称的非中等连接来研究奇异的多重翘曲产品和奇异的扭曲产品及其曲率。我们还讨论了与几乎产品结构及其奇异型扭曲产品和奇异扭曲产品的曲率相关的Koszul形式。最后，提出了几个示例以证明理论结果。
In this paper, we generalize the results in [Y. Wang: Affine connections on singular warped products. Int. J. Geom. Methods Mod. Phys. 18(5), 2150076, (2021).] to singular multiply warped products and singular twisted products. We study singular multiply warped products and singular twisted products and their curvature with the semi-symmetric metric connection and the semi-symmetric non-metric connection. We also discuss Koszul forms associated with the almost product structure and their curvature of singular multiply warped products and singular twisted products. Finally, several examples are presented to demonstrate the theoretical results.
