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An inequality for warped product CR-submanifolds in an LCK-space form

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Type
Preprint
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arXiv ID: 1404.3468
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arXiv
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Abstract

In this paper, we obtain a geometric inequality for the length of the second fundamental form in terms of the warping function of a CR-warped product submanifold in a locally conformal Kaehler space form. The inequality is discussed for the important subclass of locally conformal Kaehler manifolds i.e., Vaisman manifold.

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