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n this paper, we obtain a geometric inequality between the length of thesecond fundamental form and the length of Lee form in terms of the warpingfunction for a CR-warped product submanifold in a locally conformal Kaehlerspace form. The equality case is also investigated. Furthermore, the inequalityis discussed for the important subclass of locally conformal Kaehler manifoldsi.e., Vaisman manifold.

B.-Y. Chen's inequality for $CR$-warped products in a locally conformal Kaehler space form