On a certain type of warped-twisted product submanifolds

We introduce a certain type of warped-twisted product submanifolds which is called warped-twisted product hemislant submanifolds of the form f(2) M-perpendicular to x f(1) M-theta with warping function f(2) on M-theta and twisting function f(1), where M-perpendicular to is a totally real and M-theta is a slant submanifold of a globally conformal Kaehler manifold. We prove that a warped-twisted product hemislant submanifold of a globally conformal Kaehler manifold is a locally doubly warped product. Then we establish a general inequality for doubly warped product mixed geodesic hemislant submanifolds and get some results for such submanifolds by using the equality sign of the general inequality.