On Conharmonic Curvature Tensor in K-contact and Sasakian Manifolds

Some necessary and/or sufficient condition(s) for K-contact and/or Sasakian manifolds to be quasi conharmonically flat, ξ-conharmonically flat and φ-conharmonically flat are obtained. In last, it is proved that a compact φ-conharmonically flat K-contact manifold with regular contact vector field is a principal S¹-bundle over an almost Kaehler space of constant holomorphic sectional curvature (3−2/2n−1).