Some aspects of the geometry of generalized Kenmotsu manifolds

We show that the GK-manifold of dimension different from 5 is an SGK-manifold of type II. Considering the isotropic properties of GK-manifolds, in particular, of the GK-manifolds of constant curvature, pointwise constant ?-holomorphic curvature and also Einstein and ?-Einstein GK-manifolds, several results are established.