Березовський, Володимир Євгенійович2017-06-272017-06-272017Berezovski V. E., Bácsó S., Mikes J. Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors. Miskolc Mathematical Notes. Vol. 18 (2017), No. 1, pp. 117–1241787-2413http://lib.udau.edu.ua/handle/123456789/6252In the present paper we study the preserving of Riemannian and Ricci tensors with respect to a diffeomorphism of spaces with affine connection. We consider geodesic and almost geodesic mappings of the first type. The basic equations of these maps form a closed system of Cauchy type in covariant derivatives. We determine the quantity of essential (substantial) parameters, on which depend the general solution of this problem.enpreservingRiemannian tensorRicci tensormanifold with affine connectionСтаття