Horizontally submersions of contact CR-submanifolds

In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that the structures of quasi- K -cosymplectic and quasi-Kenmotsu manifolds are related to (1, 2) - symplectic structures. For horizontally submersions of contact CR -submanifolds of quasi- K -cosymplectic and quasi- Kenmotsu manifolds, we study the principal characteristics and prove that their total spaces are CR -product. Curvature properties between curvatures of quasi- K -cosymplectic and quasi-Kenmotsu manifolds and the base spaces of such submersions are also established. We finally prove that, under a certain condition, the contact CR -submanifold of a quasi Kenmotsu manifold is locally a product of a totally geodesic leaf of an integrable horizontal distribution and a curve tangent to the normal distribution.