CANONICAL ALMOST GEODESIC MAPPINGS π2(e), e = ±1, OF SPACES WITH AFFINE CONNECTION ONTO m-SYMMETRIC SPACES

被引：1
|
作者：
Berezovski, Volodymyr [1 ]
Bacso, Sandor [2 ]
Cherevko, Yevhen [3 ]
Mikes, Josef [4 ]
机构：
[1] Uman Natl Univ Hort, Dept Math & Phys, 1 Inst Skaya Str, UA-20300 Uman, Ukraine
[2] Univ Debrecen, Egyet Ter 1, H-4032 Debrecen, Hungary
[3] Odesa Natl Univ Technol, Dept Phys & Math Sci, 112 Kanatnaya Str, UA-65039 Odesa, Ukraine
[4] Palacky Univ, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 01期
关键词：
canonical almost geodesic mapping; fundametal equation; m-symmetric space;
D O I：
10.18514/MMN.2023.3965
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper we consider canonical almost geodesic mappings pi 2(e) , e = +/- 1, of spaces with affine connection onto 2-symmetric, 3-symmetric and m-symmetric spaces. The main equa-tions for the mappings have been obtained as closed systems of PDEs of Cauchy type in covari-ant derivatives. We have found the maximum numbers of essential parameters which the general solutions of the systems depend on.
引用
收藏
页码：93 / 104
页数：12
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