ANTI-INVARIANT ξ^⊥-RIEMANNIAN SUBMERSIONS FROM ALMOST CONTACT MANIFOLDS

We introduce anti-invariant ξ^⊥-Riemannian submersions from almost contact manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a special anti-invariant ξ^⊥-Riemannian submersion to be totally geodesic. Moreover, we obtain decomposition theorems for the total manifold of such submersions.