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In monograph of D. E. Blair "Riemannian geometry of contact and symplecticmanifolds" and in the paper of S. Zamkovoy "Canonical connections onparacontact manifolds", the curvature identities respectively for contact andparacontact metric manifold are proved. We obtain the curvature identity in thewider class of manifolds, which generalizes results presented in abovementioned publications. Moreover, we present some properties of almost(para)hermitian structure on a special semiproduct of R+ and an almost(para)contact metric manifold. This semiproduct plays an auxiliary role inproving main theorem.

On basic curvature identities for almost (para)contact metric manifolds