COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.8, sa.3, ss.301-313, 2017 (ESCI)
The aim of this paper is focusing on eta-Einstein geometry of normal complex contact metric manifolds. We give the definition of complex eta-Einstein normal complex contact metric manifolds. In addition, we study on concircular curvature tensor Z on a normal complex contact metric manifold which satisfy Z (U, X).Z = 0 and Z(V, X).Z = 0. Also, we prove that a projectively semi-symmetric normal complex contact metric manifold is complex eta-Einstein.