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

作　　者：吴彤 WU Tong(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2024年第2期48-52,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11771070).

摘　　要：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.

关 键 词：微分形式代数 半对称不保度量联络 Gauss-Codazzi-Ricci等式 

分 类 号：O186.1[理学—数学]