Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connection onto Generalized 2-Ricci-Symmetric Spaces

Abstract

In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces. The main equations for the mappings are obtained as a closed system of linear differential equations of Cauchy type in the covariant derivatives. The obtained result extends an amount of research produced by Sinyukov, Berezovski and Mikeš.