东北师大学报(自然科学版)2024,Vol.56Issue(2) :48-52.DOI:10.16163/j.cnki.dslkxb202210020001

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

吴彤
东北师大学报(自然科学版)2024,Vol.56Issue(2) :48-52.DOI:10.16163/j.cnki.dslkxb202210020001

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

吴彤1
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作者信息

  • 1. 东北师范大学数学与统计学院,吉林 长春 130024
  • 折叠

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.

Abstract

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

Key words

the algebra of differential forms/semi-symmetric non-metric connection/Gauss-Codazzi-Ricci equations

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基金项目

国家自然科学基金资助项目(11771070)

出版年

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
参考文献量10
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