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Conformal and Geodesic Mappings onto Some Special Spaces

Author

Listed:
  • Volodymyr Berezovski

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

  • Yevhen Cherevko

    (Department of Economic Cybernetics and Information Technologies, Odesa National Economic University, 65082 Odesa, Ukraine)

  • Lenka Rýparová

    (Department of Algebra and Geometry, Faculty of Science, Palacky University in Olomouc, 771 46 Olomouc, Czech Republic
    Department of Mathematics, Faculty of Civil Engineering, Brno University of Technology, 601 90 Brno, Czech Republic)

Abstract

In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the mappings are obtained as a closed system of Cauchy-type differential equations in covariant derivatives. We find the number of essential parameters which the solution of the system depends on. A similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces, as well as geodesic mappings of spaces with affine connections onto Ricci-m-symmetric spaces.

Suggested Citation

  • Volodymyr Berezovski & Yevhen Cherevko & Lenka Rýparová, 2019. "Conformal and Geodesic Mappings onto Some Special Spaces," Mathematics, MDPI, vol. 7(8), pages 1-8, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:664-:d:251502
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    Citations

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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. 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.
    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.

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