Abstract
Certain basic inequalities, involving the squared mean curvature and one of the scalar curvature, the sectional curvature and the Ricci curvature for a submanifold of any Riemannian manifold, are obtained. Applying these results we obtain the corresponding inequalities for different kinds of submanifolds of a locally conformal Kaehler space form. Equality cases are also discussed. Finally, we also find a sufficient condition for a Lagrangian submanifold of a locally conformal Kaehler space form to be minimal.
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