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

Matsumoto, K. and Bonanziga, V. (2008) Doubly warped product CR-submanifolds in a locally conformal Kaehler space form. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (1). pp. 93-102. ISSN 0866-0174

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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.

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