*-Ricci tensor on (kappa, mu)-contact manifolds

We introduce the notion of semi-symmetric *-Ricci tensor and illustrate that a non-Sasakian (kappa, mu)-contact manifold is *-Ricci semi-symmetric or has parallel *-Ricci operator if and only if it is *-Ricci flat. Then we find that among the non-Sasakian (kappa, mu)-contact manifolds with the same Boeckx invariant I-M, only one is *-Ricci flat, so we can think of it as the representative of such class. We also give two methods to construct *-Ricci flat (kappa, mu)-contact manifolds.