Березовський, Володимир Євгенійович2019-07-272019-07-272019Berezovski, V.; Cherevko, Y.; Rýparová, L. Conformal and Geodesic Mappings onto Some Special Spaces. Mathematics 2019, 7, 664.2227-7390http://lib.udau.edu.ua/handle/123456789/6872In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the mappings are obtained as a closed system of Cauchy-type differential equations in covariant derivatives. We find the number of essential parameters which the solution of the system depends on. A similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces, as well as geodesic mappings of spaces with affine connections onto Ricci-m-symmetric spaces.enspace with affine connectionriemannian spacericci-m-symmetric spaceconformal mappinggeodesic mappingСтаття