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On Canonical Almost Geodesic Mappings of Type π 2 ( e )

Author

Listed:
  • Volodymyr Berezovski

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

  • Josef Mikeš

    (Department of Algebra and Geometry, Palacký University in Olomouc, 771 46 Olomouc, Czech Republic)

  • Lenka Rýparová

    (Department of Algebra and Geometry, Palacký University in Olomouc, 771 46 Olomouc, Czech Republic)

  • Almazbek Sabykanov

    (Department of Algebra, Geometry, Topology and high Mathematics, Kyrgyz National University of Jusup Balasagyn, 720033 Bishkek, Kyrgyzstan)

Abstract

In the paper, we consider canonical almost geodesic mappings of type π 2 ( e ) . We have found the conditions that must be satisfied for the mappings to preserve the Riemann tensor. Furthermore, we consider canonical almost geodesic mappings of type π 2 ( e ) of spaces with affine connections onto symmetric spaces. The main equations for the mappings are obtained as a closed mixed system of Cauchy-type Partial Differential Equations. We have found the maximum number of essential parameters which the solution of the system depends on.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:54-:d:304224
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    References listed on IDEAS

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    1. Volodymyr Berezovski & Yevhen Cherevko & Lenka Rýparová, 2019. "Conformal and Geodesic Mappings onto Some Special Spaces," Mathematics, MDPI, vol. 7(8), pages 1-8, July.
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    Cited by:

    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 & 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.
    3. 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.

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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 & Yevhen Cherevko & Irena Hinterleitner & Patrik Peška, 2020. "Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces," Mathematics, MDPI, vol. 8(9), pages 1-13, September.

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