Impact of structure vector field ξ-on pointwise semi-slant conformal submersions

Abstract

We introduce the idea of pointwise semi-slant conformal submersions from Sasakian manifolds onto Riemannian manifolds. We discuss the impact of a structure vector field ?-by considering it horizontally as well as vertically and investigate the necessary and sufficient conditions for distributions to be integrable and totally geodesic. Because the distributions are neither integrable nor totally geodesic when ?-is vertical, therefore we examine the conditions of integrability and totally geodesicness by changing the role of ?.