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

Author

Listed:
  • Volodymyr Berezovski

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

  • Lenka Rýparová

    (Department of Algebra and Geometry, Faculty of Science, Palacky University in Olomouc, 771 46 Olomouc, Czech Republic
    Institute of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic)

  • Yevhen Cherevko

    (Department of Physical and Mathematical Sciences, Odesa National University of Technology, Kanatnaya 112, 65039 Odesa, Ukraine)

Abstract

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.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1246-:d:1087659
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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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