Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces

Author:

Berezovski VolodymyrORCID,Cherevko YevhenORCID,Hinterleitner IrenaORCID,Peška PatrikORCID

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference51 articles.

1. Sulle trasformazioni delle equazioni dinamiche

2. Zur Infinitesimalgeometrie Einordnung der projektiven und der konformen Auffassung;Weyl;Göttinger Nachrichten,1921

3. On projective and equiprojective geometries of paths;Thomas;Proc. Nat. Acad. Sci. USA,1925

4. Asymmetric displacement of a vector

5. Riemannian Geometry;Eisenhart,1926

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