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Geodesic mappings of manifolds with affine connection onto the Ricci symmetric manifolds
В. Е. Березовский (Uman National University), Irena Hinterleitner (Brno University of Technology), Josef Mikeš (Palacký University Olomouc)
Abstract: In the present paper we investigate geodesic mappings of manifolds with affine connection onto Ricci symmetric manifolds which are characterized by the covariantly constant Ricci tensor. We obtained a fundamental system for this problem in a form of a system of Cauchy type equations in covariant derivatives depending on no more than n(n+1) real parameters. Analogous results are obtained for geodesic mappings of manifolds with affine connection onto symmetric manifolds.