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We introduce anti-invariant Riemannian submersions from cosymplecticmanifolds onto Riemannian manifolds. We survey main results of anti-invariantRiemannian submersions defined on cosymplectic manifolds. We investigatenecessary and sufficient condition for an anti-invariant Riemannian submersionto be totally geodesic and harmonic. We give examples of anti-invariantsubmersions such that characteristic vector field {\xi} is vertical orhorizontal. Moreover we give decomposition theorems by using the existence ofanti-invariant Riemannian submersions.

Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds