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微分形式代数上的半对称不保度量联络

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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 connection on algebra of differential forms
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.

the algebra of differential formssemi-symmetric non-metric connectionGauss-Codazzi-Ricci equations

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东北师范大学数学与统计学院,吉林 长春 130024

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

国家自然科学基金资助项目

11771070

2024

东北师大学报(自然科学版)
东北师范大学

东北师大学报(自然科学版)

CSTPCD北大核心
影响因子:0.612
ISSN:1000-1832
年,卷(期):2024.56(2)
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