Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces

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Березовський, Володимир Євгенійович
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MDPI (Basel, Switzerland)
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.
Ключові слова
geodesic mapping, space with affine connections, m-Ricci-symmetric space, Cauchy-type differential equations
Бібліографічний опис
Berezovski, V.; Cherevko, Y.; Hinterleitner, I.; Peška, P. Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces. Mathematics 2022, 10, 2165.