We introduce a torsion free linear connection on a hypersurface in a Sasakian manifold on which we have defined in natural way a CR-structure of CR-codimension 2. We study the curvature properties of this connection and we give some interesting examples.

The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on integral maximum dimension first fundamental distribution manifold Kähler manifold. class zero type coincides manifolds. concept constancy an contact metric introduced through its Nijenhuis tensor, and criterion proved. coincidence both concepts for structure.