Warped product in kählerian geometry

A contruction for the kählerian manifolds similar to the warped product of the riemannian manifolds is proposed. The kählerian analog has the properties similar to the warped product: a complex inverse geodesication, a parametrization by one variable function with fixed factors, fibers of pair transverse foliates, a conformal totally geodesic one and a foliate of generic external quasispheres. The proposed kählerian $f$-continuation construction is the extension of the complex space form set.