论文标题
差异形式的代数上的仿射连接
Affine connections on the algebra of differential forms
论文作者
论文摘要
在本文中，我们定义了差分形式代数上的半对称度量连接。我们计算了一些特殊的半对称度量连接及其曲率张量及其在差分形式的代数上的RICCI张量。我们研究了差异形式代数上的分布，并获得了与半对称度量度量连接相关的高斯 - 奇数方程。我们还研究了差异形式代数上分布的谎言衍生物。我们定义了不同形式的代数上的规范连接和Schouten连接以及vrancreanu连接，并获得了这些连接的某些属性。
In this paper, we define the semi-symmetric metric connection on the algebra of differential forms. We compute some special semi-symmetric metric connections and their curvature tensor and their Ricci tensor on the algebra of differential forms. We study the distribution on the algebra of differential forms and we get its Gauss-Codazzi-Ricci equations associated to the semi-symmetric metric connection. We also study the Lie derivative of the distribution on the algebra of differential forms. We define the canonical connection and the Schouten connection and the Vrancreanu connection on the algebra of differential forms and get some properties of these connections.
