Geodesic Mappings of Manifolds with Affine Connection onto the Ricci Symmetric Manifolds

Abstract

In the present paper we study geodesic mappings of manifolds with affine connection onto Ricci symmetric manifolds which are characterized by the covariantly constant Ricci tensor.
We obtained fundamental system for this problem in form a system of Cauchy type equationsin covariant derivatives depending on more than $n(n+1)$ real parameters.