【摘要】 定义了微分形式代数上的半对称度量联络，计算该代数上的一些特殊的半对称度量联络，以及曲率张量和Ricci张量.研究了微分形式代数上的分布，得到其与半对称度量联络相关的Gauss-Codazzi-Ricci方程.讨论了微分形式代数上分布的Lie导数，并计算相应的曲率张量和Ricci张量.更多还原

【Abstract】 The semi-symmetric metric connection on the algebra of differential forms is defined.Some special semi-symmetric metric connections and their curvature tensor and their Ricci tensor on the algebra of differential forms are computed.The distribution on the algebra of differential forms are computed and its Gauss-Codazzi-Ricci equations associated to the semi-symmetric metric connection are obtained.The Lie derivative of the distribution on the algebra of differential forms is computed, and their curvature tensor and their Ricci tensor are computed.更多还原