Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 24, No. 1, pp. 93-102 (2008)

Doubly warped product CR-submanifolds in a locally conformal Kaehler space form

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

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