Pointwise Hemi-Slant Riemannian Submersions

Abstract

We introduce a new type of submersions, which are called pointwise hemi-slant Riemannian submersions, as a generalization of slant Riemannian submersions, hemi-slant submersions, and pointwise slant submersions from Kaehler manifolds onto Riemannian manifolds. We obtain some geometric interpretations of this kind of submersions with respect to the total manifold, base manifold, and fibers. Moreover, we present nontrivial illustrative examples in order to demonstrate the existence of submersions of this kind. Finally, we obtain some curvature equalities and inequalities with respect to a certain basis.