Canonical F-Planar Mappings of Spaces with Affine Connection onto m-Symmetric Spaces

被引：1

作者：

Berezovski, Volodymyr ^{[1
]}

Ryparova, Lenka ^{[2
,3
]}

Cherevko, Yevhen ^{[4
]}

机构：

[1] Uman Natl Univ Hort, Dept Math & Phys, UA-20300 Uman, Ukraine

[2] Palacky Univ Olomouc, Fac Sci, Dept Algebra & Geometry, Olomouc 77146, Czech Republic

[3] Brno Univ Technol, Inst Math & Descript Geometry, Fac Civil Engn, Brno 60200, Czech Republic

[4] Odesa Natl Univ Technol, Dept Phys & Math Sci, Kanatnaya 112, UA-65039 Odesa, Ukraine

来源：

MATHEMATICS | 2023年 / 11卷 / 05期

关键词：

F-planar mapping; space with affine connection; symmetric space; 2-symmetric space; m-symmetric space; EQUATIONS;

D O I：

10.3390/math11051246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider canonical F-planar mappings of spaces with affine connection onto m-symmetric spaces. We obtained the fundamental equations of these mappings in the form of a closed system of Chauchy-type equations in covariant derivatives. Furthermore, we established the number of essential parameters on which its general solution depends.

引用

页数：9

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