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Recently, M. Atcken studied Contact CR-warped prod- uct submanifolds incosymplectic space forms and established gen- eral sharp inequalities forCR-warped products in a cosymplectic manifold [1]. In the present paper, weobtain an inequality for the squared norm of the second fundamental form interms of constant ?$\phi$-sectional curvature for hemi-slant products incosymplectic mani- folds. An inequality for hemi-slant warped products in acosymplectc manifold is also given. The equality case is considered.

Some inequalities on hemi-slant product submanifolds in a cosymplectic manifold