Basic equations of $G$-almost geodesic mappings of the second type, which have the property of reciprocity

Czechoslovak Mathematical Journal

Mića S. ¹ 

[1] Milan L. Zlatanović,Nenad O. Vesić, Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

关键词: non-symmetric affine connection;    almost geodesic mapping;    $G$-almost geodesic mapping;    property of reciprocity;    almost geodesic mapping of the second type;   

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

We study $G$-almost geodesic mappings of the second type $\underset\theta\to\pi_2(e)$, $\theta=1,2$ between non-symmetric affine connection spaces. These mappings are a generalization of the second type almost geodesic mappings defined by N. S. Sinyukov (1979). We investigate a special type of these mappings in this paper. We also consider $e$-structures that generate mappings of type $\underset\theta\to\pi_2(e)$, $\theta=1,2$. For a mapping $\underset\theta\to\pi_2(e,F)$, $\theta=1,2$, we determine the basic equations which generate them.

【 授权许可】

Unknown