Geodesic Mappings of Spaces with Affine Connnection onto Generalized Ricci Symmetric Spaces

被引：2
|
作者：
Berezovski, V. E. [1 ]
Mikes, Josef [2 ]
Ryparova, Lenka [2 ]
机构：
[1] Uman Natl Univ Hort, Uman, Ukraine
[2] Palacky Univ, Olomouc, Czech Republic
来源：
FILOMAT | 2019年 / 33卷 / 14期
关键词：
geodesic mapping; spaces with affine connnection; generalized Ricci symmetric spaces; fundamental equations;
D O I：
10.2298/FIL1914475B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The presented work is devoted to study of the geodesic mappings of spaces with affine connection onto generalized Ricci symmetric spaces. We obtained a fundamental system for this problem in a form of a system of Cauchy type equations in covariant derivatives depending on no more than 1/2n(2)(n + 1) + n real parameters. Analogous results are obtained for geodesic mappings of manifolds with affine connection onto equiaffine generalized Ricci symmetric spaces.
引用
收藏
页码：4475 / 4480
页数：6
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