CANONICAL ALMOST GEODESIC MAPPINGS OF THE FIRST TYPE OF SPACES WITH AFFINE CONNECTION ONTO GENERALIZED 2-RICCI-SYMMETRIC SPACES

被引:2
|
作者
Berezovski, Volodymyr [1 ]
Cherevko, Yevhen [2 ]
Leshchenko, Svitlana [1 ]
Mikes, Josef [3 ]
机构
[1] Odesa Natl Econ Univ, Dept Math, UA-65082 Odesa, Ukraine
[2] Uman Natl Univ Hort, Dept Math, UA-20300 Uman, Ukraine
[3] Palacky Univ, Dept Algebra & Geometry, Olomouc 77900, Czech Republic
关键词
almost geodesic; generalized 2-Ricci-symmetric space; linear differential equations of Cauchy type mapping;
D O I
10.7546/giq-22-2021-78-87
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces. The main equations for the mappings are obtained as a closed system of linear differential equations of Cauchy type in the covariant derivatives. The obtained result extends an amount of research produced by Sinyukov, Berezovski and Mikes.
引用
收藏
页码:78 / 87
页数:10
相关论文
共 46 条
  • [1] Canonical Almost Geodesic Mappings of the First Type onto Generalized Ricci Symmetric Spaces
    Berezovski, Vladimir
    Cherevko, Yevhen
    Hinterleitner, Irena
    Mikes, Josef
    [J]. FILOMAT, 2022, 36 (04) : 1089 - 1097
  • [2] Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces
    Berezovski, Volodymyr
    Cherevko, Yevhen
    Mikes, Josef
    Ryparova, Lenka
    [J]. MATHEMATICS, 2021, 9 (04) : 1 - 12
  • [3] Geodesic Mappings of Spaces with Affine Connnection onto Generalized Ricci Symmetric Spaces
    Berezovski, V. E.
    Mikes, Josef
    Ryparova, Lenka
    [J]. FILOMAT, 2019, 33 (14) : 4475 - 4480
  • [4] Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces
    Berezovski, Volodymyr
    Cherevko, Yevhen
    Hinterleitner, Irena
    Peska, Patrik
    [J]. MATHEMATICS, 2020, 8 (09)
  • [5] Geodesic and almost geodesic mappings onto Ricci symmetric spaces
    Berezovskii, V
    Peska, P.
    Mikes, J.
    [J]. MATHEMATICS, INFORMATION TECHNOLOGIES AND APPLIED SCIENCES 2017, 2017, : 43 - 49
  • [6] CANONICAL ALMOST GEODESIC MAPPINGS π2(e), e = ±1, OF SPACES WITH AFFINE CONNECTION ONTO m-SYMMETRIC SPACES
    Berezovski, Volodymyr
    Bacso, Sandor
    Cherevko, Yevhen
    Mikes, Josef
    [J]. MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 93 - 104
  • [7] Special Almost Geodesic Mappings of the First Type of Non-symmetric Affine Connection Spaces
    Miloš Z. Petrović
    Mića S. Stanković
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 1353 - 1362
  • [8] Special Almost Geodesic Mappings of the First Type of Non-symmetric Affine Connection Spaces
    Petrovic, Milos Z.
    Stankovic, Mica S.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (03) : 1353 - 1362
  • [9] Almost geodesic mappings of spaces with affine connection
    Berezovskii V.E.
    Mikeš J.
    [J]. Journal of Mathematical Sciences, 2015, 207 (3) : 389 - 409
  • [10] Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces
    Berezovski, Volodymyr
    Cherevko, Yevhen
    Hinterleitner, Irena
    Peska, Patrik
    [J]. MATHEMATICS, 2022, 10 (13)