Geodesic Mappings of Spaces with Affne Connnection onto Generalized Ricci Symmetric Spaces

Abstract

The presented work is devoted to study of the geodesic mappings of spaces with affne connection onto generalized Ricci symmetric spaces. 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 12 n2(n + 1) + n real parameters. Analogous results are obtained for geodesic mappings of manifolds with affne connection onto equiaffne generalized Ricci symmetric spaces.