Abstract
At this work, our main objective is to present the idea of hemi-slant Riemannian submersions from almost contact metric manifolds as a natural generalization of anti-invariant Riemannian submersions, semi-invariant Riemannian submersions and slant Riemannian submersions. We mostly examined on hemi-slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. During this way, we tend to study and investigate integrability conditions, the geometry of leaves of distributions which are emerged from the definition of the submersion. Besides, we tend to get new conditions for these submersions to be totally geodesic. Finally, we construct some quality examples of such submersion.
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