Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI (Basel, Switzerland)
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.
Description
Keywords
geodesic mapping, space with affine connections, m-Ricci-symmetric space, Cauchy-type differential equations
Citation
Berezovski, V.; Cherevko, Y.; Hinterleitner, I.; Peška, P. Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces. Mathematics 2022, 10, 2165. https://doi.org/10.3390/math10132165