Geodesic Mappings onto Generalized m -Ricci-Symmetric Spaces

Volodymyr Berezovski, Yevhen Cherevko, Irena Hinterleitner and Patrik Peška
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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

Mathematics, 2022, vol. 10, issue 13, 1-12

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.

Keywords: geodesic mapping; space with affine connections; m-Ricci-symmetric space; Cauchy-type differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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