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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 24, No. 1, pp. 93-102 (2008)
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Doubly warped product CR-submanifolds in a locally conformal Kaehler space form

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K. Matsumoto and V. Bonanziga

Yamagata, University of Reggio Calabria

**Abstract:** Recently, the present authors considered doubly warped product CR-submanifolds in a locally conformal Kaehler manifold and got some inequalities about the length of the second fundamental form. In this report, we obtain an inequality of the mean curvature of a doubly warped product CR-submanifold in a locally conformal Kaehler space form. Then, we consider the equality case of this inequality.

**Keywords:** Locally conformal Kaehler manifold, doubly warped product \emph{CR}-submanifold, adapted frame

**Classification (MSC2000):** 53C40

**Full text of the article:**

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