Conformal Bi-Slant ξ ±-Riemannian Submersion: A Note in Contact Geometry

This study explores conformal bi-slant xi perpendicular to -Riemannian submersion where the total manifold is a contact metric manifold, more specifically a Sasakian manifold. To illustrate this study, few non -trivial examples are discussed. Meanwhile, we addressed the conditions for integrability of anti -invariant and slant distributions and determine the conditions for the map that must be met in order to be totally geodesic. Furthermore, some decomposition theorems for the fibres as well as for the total space are discussed.