Conformal-twisted product semi-slant submanifolds in globally conformal Kaehler manifolds

We introduce the notion of conformal-twisted product submanifolds of the form M-f(T) x M-b(theta) and M-f(theta) x M-b(T), where M-T is a holomorphic submanifold and M-theta is a proper slant submanifold of M in a globally conformal Kaehler manifold and f and b are conformal factor and twisting function, respectively. We give necessary and sufficient conditions for proper semi-slant submanifold to be a locally conformal-twisted product for such submanifolds of the form M-f(T) x M-b(theta) and M-f(theta) x M-b(T). We establish a general inequality for the squared norm of second fundamental form of these types of submanifolds.