Geodesic mapping onto Kählerian space of the third kind

In the present paper we study geodesic mappings between generalized Riemannian GRN and generalized Kählerian spaces of the third type GK3N, and specially the case when these spaces have the same torsions at corresponding points. Using the non-symmetric metric tensor we find necessary and sufficient conditions for the existence of geodesic mapping f:GRN→GK3‾N with respect to the four kinds of covariant derivatives.