Warped-twisted product semi-slant submanifolds

Abstract

We introduce the notion of warped-twisted product semi-slant submanifolds of the form f2MT?f1 M? with warping function f2 on M? and twisting function f1, where MT is a holomorphic and M? is a slant submanifold of a globally conformal Kaehler manifold. We prove that a warped-twisted product semislant submanifold of a globally conformal Kaehler manifold is a locally doubly warped product. Then we establish a general inequality for doubly warped product semi-slant submanifolds and get some results for such submanifolds by using the equality sign of the general inequality.