The object of the present paper is to study Ricci semisymmetric contact metric manifolds. As a consequence of the main result we deduce some important corollaries. Besides these we study contact metric manifolds satisfying the curvature condition Q.R = 0, where Q and R denote the Ricci operator and curvature tensor respectively. Also we study the symmetric properties of a second order parallel tensor in contact metric manifolds. Finally, we give an example to verify the main result.
The object of the present paper is to study the symmetric and skewsymmetric properties of a second order parallel tensor in a (k,µ)-contact metric manifold.
We consider the constant Q-curvature metric problem in the given conformal class on conic 4-manifolds and study related differential equations.