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B.-Y. Chen’s inequality for pointwise CR-slant warped products in cosymplectic manifolds

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Recently, pointwise CR-slant warped products introduced by Chen and Uddin in [14] for Kaehler manifolds. In the context of almost contact metric manifolds, in this paper, we study these submanifolds in cosymplectic manifolds. We investigate the geometry of such warped product and prove establish a lower bound relation between the second fundamental form and warping function. The equality case is also investigated.
National Library of Serbia
Title: B.-Y. Chen’s inequality for pointwise CR-slant warped products in cosymplectic manifolds
Description:
Recently, pointwise CR-slant warped products introduced by Chen and Uddin in [14] for Kaehler manifolds.
In the context of almost contact metric manifolds, in this paper, we study these submanifolds in cosymplectic manifolds.
We investigate the geometry of such warped product and prove establish a lower bound relation between the second fundamental form and warping function.
The equality case is also investigated.

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