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

Volodymyr Berezovski, Yevhen Cherevko, Irena Hinterleitner, Josef Mikes


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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