Warped-twisted product semi-slant submanifolds

Abstract

We introduce the notion of warped-twisted product semi-slant submanifolds of the form _{f_2}M^{T}\times_{f_1}M^{\theta} with    warping function f_2 on M^\theta and  twisting function f_1, where M^T is a holomorphic  and M^\theta is a  slant submanifold of  a globally conformal Kaehler manifold. We  prove that  a warped-twisted product semi-slant 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.