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

页码：4475 / 4480

页数：6

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