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On the Ricci curvature of submanifolds in the warped product $L\times_{f} F$

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Abstract

The warped product L times_{f} F of a line L and aKaehler manifold F is a typical example of Kenmotsu manifold. Inthis paper we determine submanifolds of L times_{f} F which aretangent to the structure vector field and satisfy certainconditions concerning with Ricci curvature and mean curvature.

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