Chen's Type Inequality for Warped Product Pseudo-slant Submanifolds of Kenmotsu f-manifolds

Abstract

In the present paper, we consider non-trivial warped product pseudo slant submanifolds of type M_{}×_{f}M_{θ} and M_{θ}×_{f}M_{} of Kenmotsu f-manifold M. Firstly, we get some basic properties of these type warped product submanifolds. Then, we improve the general sharp inequalities for mixed totally geodesic warped product pseudo slant submanifolds and also we consider equality cases. We construct some non-trivial examples to prove the existence of warped product pseudo slant submanifolds of a Kenmotsu f-manifold.