Conformal hemi-slant submersion from Sasakian manifold

Abstract

In this article, we examine conformal hemi-slant submersion from Sasakian manifold onto a Riemannian manifold which generalizes the conformal anti-invariant, conformal semi-invariant and conformal slant submersions and non-trivial examples are provided. We have also covered integrability requirements and address the necessary and sufficient conditions for the totally geodesicness of distributions. Moreover, the sufficient condition for a conformal hemi-slant submersion to be a homothetic map is investigated. The condition for a total manifold of the submersion to be twisted product is also studied, followed by other decomposition theorems.