Some Invariant Properties of Semi-symmetric Metric Recurrent Connections and Curvature Tensor Expressions

作     者：ZHAO Pei-biao, SONG Hong-zao, YANG Xiao-ping(1. Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China 2. College of Mathematic and Information Science, Henan University , Kaifeng 475001, China) 

作者机构：Department of Applied Mathematics Nanjing University of Science and Technology Nanjing 210094China College of Mathematic and Information ScienceHenan University Kaifeng 475001 China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文))

年 卷 期：2004年第19卷第4期

页      面：355-361页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：SupportedbyaGrant-in-AidforScientificResearchfromNanjingUniversityofScienceandTechnologyandPartlybytheNNSF(19771048)SupportedbytheNNSF(19771048)SupportedbyaGrant-in-AidforScientificResearchfromHenanUniversity(200110475028) 

主　　题：projective transformation semi-symmetric metric connection metric recurrent connection invariant curvature tensor expression covariant derivative 

摘      要：The projective transformation of the special semi-symmetric metric recurrent connection is studied in this paper. First of all, an invariant under this transformation is granted; Secondly, by inducing of the invariant and making use of the properties that the corresponding covariant derivative keeps being fixed under the distinctness connection, the curvature tensor expression of the Riemannian manifold is posed at the same time.