Anti-invariant ?-Riemannian Submersions From Almost Hyperbolic Contact Manifolds

Abstract

In this paper, we introduce anti-invariant ?-Riemannian submersions from almost hyperboliccontact manifolds onto Riemannian manifolds. Necessary and sufficient conditions for a specialanti-invariant ?-Riemannian submersion to be totally geodesic are studied. Moreover, we obtaindecomposition theorems for the total manifold of such submersions.