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Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m -Ricci-Symmetric Spaces

Author

Listed:
  • Volodymyr Berezovski

    (Department of Mathematics and Physics, Uman National University of Horticulture, 20300 Uman, Ukraine)

  • Yevhen Cherevko

    (Department of Physics and Mathematics Sciences, Odesa National Academy of Food Technologies, 65039 Odesa, Ukraine
    Department of Economic Cybernetics and Information Technologies, Odesa National Economics University, 65082 Odesa, Ukraine)

  • Josef Mikeš

    (Department of Algebra and Geometry, Faculty of Science, Palacky University, 771 46 Olomouc, Czech Republic)

  • Lenka Rýparová

    (Institute of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic)

Abstract

In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces, generalized 3-Ricci-symmetric spaces, and generalized m -Ricci-symmetric spaces. In either case 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 results extend an amount of research produced by N.S. Sinyukov, V.E. Berezovski, J. Mikeš.

Suggested Citation

  • Volodymyr Berezovski & Yevhen Cherevko & Josef Mikeš & Lenka Rýparová, 2021. "Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m -Ricci-Symmetric Spaces," Mathematics, MDPI, vol. 9(4), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:437-:d:503991
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    References listed on IDEAS

    as
    1. Volodymyr Berezovski & Josef Mikeš & Lenka Rýparová & Almazbek Sabykanov, 2020. "On Canonical Almost Geodesic Mappings of Type π 2 ( e )," Mathematics, MDPI, vol. 8(1), pages 1-8, January.
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    Cited by:

    1. Volodymyr Berezovski & Yevhen Cherevko & Irena Hinterleitner & Patrik Peška, 2022. "Geodesic Mappings onto Generalized m -Ricci-Symmetric Spaces," Mathematics, MDPI, vol. 10(13), pages 1-12, June.
    2. Marian Ioan Munteanu, 2022. "Preface to: Differential Geometry: Structures on Manifolds and Their Applications," Mathematics, MDPI, vol. 10(13), pages 1-3, June.

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    1. Volodymyr Berezovski & Yevhen Cherevko & Irena Hinterleitner & Patrik Peška, 2022. "Geodesic Mappings onto Generalized m -Ricci-Symmetric Spaces," Mathematics, MDPI, vol. 10(13), pages 1-12, June.
    2. Volodymyr Berezovski & Lenka Rýparová & Yevhen Cherevko, 2023. "Canonical F -Planar Mappings of Spaces with Affine Connection onto m -Symmetric Spaces," Mathematics, MDPI, vol. 11(5), pages 1-9, March.

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