Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind

In this paper we define generalized Kahlerian spaces of the first kind ( $$ G_1^K N $$ ) given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ( $$ G_1^K N $$ and $$ G_1^{\bar K} N $$ ) and for them we find invariant geometric objects.