∗-CONFORMAL CURVATURE OF CONTACT METRIC MANIFOLDS

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We introduce the ∗-conformal curvature tensor and ∗η-Einstien manifolds in contact manifolds. We investigate this tensor in the three main classes of contact manifolds: Sasakian manifolds, Kenmotsu manifolds, and cosymplectic manifolds. We prove that a manifold is η-Einstienian if and only if be ∗η-Einstienian manifold.