“…A lot of research papers and monographs [1]- [23] have been dedicated to the theory of geodesic mappings of Riemannian spaces, affine connected ones and their generalizations. Sinyukov [18] and Mikeš [1], [2], [12], [13], [23] gave some other significant contributions to the study of almost geodesic mappings of affine connected spaces and singled out three types π 1 , π 2 , π 3 of almost geodesic mappings between affine connected spaces without torsion.…”