Warped-twisted product semi-slant submanifolds


Hakan Mete Taştan, Sibel Gerdan Aydın




We introduce the notion of warped-twisted product semi-slant submanifolds of the form f 2 M T × f 1 M θ with warping function f 2 on M θ and twisting function f 1 , where M T is a holomorphic and M θ 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.