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arXiv · 1207.2257

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

Khushwant Singh·S. S. Bhatia
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Abstract

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

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Khushwant Singh, S. S. Bhatia. 2012-07-10. Some inequalities on hemi-slant product submanifolds in a cosymplectic manifold. https://arxiv.org/abs/1207.2257

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