Geodesic mapping onto Kählerian space of the third kind

Abstract

In the present paper a generalized Kählerian space GK 1 N of the first kind is considered, as a generalized Riemannian space GR N with almost complex structure F h i , that is covariantly constant with respect to the first kind of covariant derivative.Using the non-symmetric metric tensor we find necessary and sufficient conditions for a geodesic mapping f : GR N → GK 1 N with respect to the four kinds of covariant derivatives.