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In the present paper we obtained 2 identities, which are satisfied by Riemann curvature tensor of generalized Kenmotsu manifolds. There was obtained an analytic expression for third structure tensor or tensor of  f -holomorphic sectional curvature of  GK -manifold. We separated 2 classes of generalized Kenmotsu manifolds and collected their local characterization.

Curvature Identities for Generalized Kenmotsu Manifolds