Submersions of CR-warped product submanifolds of a nearly Kaehler manifold

Abstract

The objective of this article is to study the submersion of CR-warped product submanifolds of a nearly Kaehler manifold onto an almost Hermitian manifold and it is proved that the holomorphic sectional curvatures of nearly Kaehler manifold and the base manifold coincide. Furthermore, the submersions of mixed totally geodesic CR-warped product submanifolds are also studied and several curvature relations are obtained, specifically it is proved that the normal connection of mixed totally geodesic CR-warped product submanifold is horizontally flat.