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Geodesic Mappings 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 University of Technology, 65039 Odesa, Ukraine)

  • Irena Hinterleitner

    (Institute of Mathematics and Descriptive Geometry, Brno University of Technology, 60200 Brno, Czech Republic)

  • Patrik Peška

    (Department of Algebra and Geometry, Palacký University Olomouc, 77147 Olomouc, Czech Republic)

Abstract

In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m -Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of linear differential equations of the Cauchy type in the covariant derivatives. For the systems, we have found the maximum number of essential parameters on which the solutions depend. These results generalize the properties of geodesic mappings onto symmetric, recurrent, and also 2-, 3-, and m -(Ricci-)symmetric spaces with affine connections.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2165-:d:844384
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    References listed on IDEAS

    as
    1. 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.
    2. Volodymyr Berezovski & Yevhen Cherevko & Lenka Rýparová, 2019. "Conformal and Geodesic Mappings onto Some Special Spaces," Mathematics, MDPI, vol. 7(8), pages 1-8, July.
    3. 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.
    Full references (including those not matched with items on IDEAS)

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