On Warped-Twisted Product Submanifolds

Abstract

We investigate warped-twisted product semi-slant submanifolds. We prove that a warped-twisted product semi-slant submanifold of the form f2MT ×f1 Mθ with warping function f2 on Mθ and twisting function f1 is a locally doubly warped product, where MT is a holomorphic and Mθ is a slant submanifold of a globally conformal Kaehler manifold. Then, we obtain a general inequality for the squared norm of the second fundamental form of the doubly warped product semi-slant submanifolds and get some results for these types of submanifolds