Abstract
Warped product submanifolds of nearly cosymplectic manifolds were studied in Uddin et al. (Math. Probl. Eng. 2011, doi: 10.1155/2011/230374 ), Uddin and Khan (J. Inequal. Appl. 2012:304, 2012) and Uddin et al. (Rev. Unión Mat. Argent. 55:55-69, 2014). In this paper, we study warped product submanifolds of nearly cosymplectic manifolds in which the base manifold is slant and thus we derive a sharp relation for the squared norm of the second fundamental form. The equality case is also considered.
Highlights
The almost contact manifolds with Killing structures tensors were defined in [ ] as nearly cosymplectic manifolds
Warped product submanifolds of nearly cosymplectic manifolds were studied in Uddin et al
We study warped product submanifolds of nearly cosymplectic manifolds in which the base manifold is slant and we derive a sharp relation for the squared norm of the second fundamental form
Summary
The almost contact manifolds with Killing structures tensors were defined in [ ] as nearly cosymplectic manifolds. Warped product submanifolds of nearly cosymplectic manifolds were studied in Uddin et al Uddin et al studied warped product semi-invariant and semi-slant submanifolds of nearly cosymplectic manifolds [ – ].
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