Canonical Almost Geodesic Mappings of the First Type onto Generalized Ricci Symmetric Spaces

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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
University of Nis, Serbia
Abstract
In the paper we consider canonical almost geodesic mappings of spaces with affine connection onto m-Ricci-symmetric spaces. In particular, we studied in detail canonical almost geodesic mappings of the first type of spaces with affine connections onto 2- and 3-Ricci-symmetric spaces. In either case the main equations for the mappings have been obtained as a closed mixed system of PDEs of Cauchy type. We have found the maximum number of essential parameters which the solution of the system depends on.
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Keywords
canonical almost geodesic mappings, affine connections
Citation
Berezovski V., Cherevko Ye., Hinterleitner I., Mikes J. Canonical Almost Geodesic Mappings of the First Type onto Generalized Ricci Symmetric Spaces. Filomat 36:4 (2022), 1089–1097