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Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space

Author

Listed:
  • Nenad O. Vesić

    (Mathematical Institute of Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
    These authors contributed equally to this work.)

  • Dušan J. Simjanović

    (Faculty of Informational Technology, Metropolitan Univeristy, 18116 Nis, Serbia
    These authors contributed equally to this work.)

  • Branislav M. Randjelović

    (Faculty of Electronic Engineering, University of Nis, 18000 Nis, Serbia
    Faculty of Teachers Education, University of K. Mitrovica, 38218 Leposavić, Serbia
    These authors contributed equally to this work.)

Abstract

This paper presents the results concerning a space of invariants for second type almost geodesic mappings. After discussing the general formulas of invariants for mappings of symmetric affine connection spaces, based on these formulas, invariants for second type almost geodesic mappings of symmetric affine connection spaces and Riemannian spaces are obtained, as well as their mutual connection. Also, one invariant of Thomas type and two invariants of Weyl type for almost geodesic mappings of the second type were attained.

Suggested Citation

  • Nenad O. Vesić & Dušan J. Simjanović & Branislav M. Randjelović, 2024. "Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space," Mathematics, MDPI, vol. 12(15), pages 1-15, July.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:15:p:2329-:d:1442839
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    References listed on IDEAS

    as
    1. 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.
    2. Patrik Peška & Marek Jukl & Josef Mikeš, 2023. "Tensor Decompositions and Their Properties," Mathematics, MDPI, vol. 11(17), pages 1-13, August.
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