Pointwise Pseudo-slant Warped Product Submanifolds in a Kähler Manifold

Abstract

The purpose of this paper is to study the pointwise pseudo-slant warped product submanifolds of a Kahler manifold $$\widetilde{M}$$ . We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a pointwise pseudo-slant submanifolds of $$\widetilde{M}$$ . The necessary and sufficient conditions for isometrically immersed pointwise pseudo-slant submanifolds of $$\widetilde{M}$$ to be a pointwise pseudo-slant warped product and a locally Riemannian product are obtained. Further, we classify pointwise pseudo-slant warped product submanifolds of $$\widetilde{M}$$ by developing the sharp inequalities in terms of second fundamental form and wrapping function.