Geodesic mapping onto Kählerian space of the third kind.

In the present paper we study geodesic mappings between generalized Riemannian GR N and generalized Kählerian spaces of the third type G K 3 N , 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 : GR N → G K 3 ‾ N with respect to the four kinds of covariant derivatives. [ABSTRACT FROM AUTHOR]