Geodesic and almost geodesic mappings onto Ricci symmetric spaces

Abstract

This paper is devoted to study of geodesic and almost geodesic mappings of special spaces with affine connection. In the first section, we mention the basic definition of geodesic and almost geodesic mappings. The next section is devoted to geodesic mappings onto Ricci symmetric manifolds and its fundamental diferential equation in Cauchy type form in covariant derivatives. We also study almost geodesic mappings of the first type onto symmetric space.