微分形式代数上的半对称不保度量联络

The semi-symmetric non-metric connection on algebra of differential forms

引入了Levi-Civita联络的半对称不保度量扰动,即微分形式代数上的半对称不保度量联络.计算了它在微分形式代数上的曲率张量及其Ricci张量.研究了在微分形式代数上的分布,得到了半对称不保度量联络的Gauss-Codazzi-Ricci等式.

The semi-symmetric non-metric perturbation of the Levi-Civita connection was introduced,i.e.the semi-symmetric non-metric connection on the algebra of differential forms.And its curvature tensor and its Ricci tensor on the algebra of differential forms were computed.In addition,the distribution on the algebra of differential forms and its Gauss-Codazzi-Ricci equations associated to the semi-symmetric non-metric connection were obtained.