论文标题
奇异扭曲产品的仿射连接
Affine connections on singular warped products
论文作者
论文摘要
在本文中，我们引入了半对称性公制的Koszul形式和奇异半利用歧管上的半对称性非对称koszul形式。半对称度量koszul形式和半对称性的Koszul形式及其半规则翘曲产物的曲率以因子歧管的形式表示。我们还引入了与几乎奇异产物半河流歧管上几乎产品结构相关的Koszul形式。与几乎产物结构相关的Koszul形式及其半规则差的几乎产物扭曲产品的曲率按照因子歧管的表达。此外，我们将结果推广到\ cite {st2}中以奇异的倍增翘曲产品。
In this paper, we introduce semi-symmetric metric Koszul forms and semi-symmetric non-metric Koszul forms on singular semi-Riemannian manifolds. Semi-symmetric metric Koszul forms and semi-symmetric non-metric Koszul forms and their curvature of semi-regular warped products are expressed in terms of those of the factor manifolds. We also introduce Koszul forms associated to the almost product structure on singular almost product semi-Riemannian manifolds. Koszul forms associated to the almost product structure and their curvature of semi-regular almost product warped products are expressed in terms of those of the factor manifolds. Furthermore, we generalize the results in \cite{St2} to singular multiply warped products.
