WARPED PRODUCTS, BIHARMONIC AND SEMI-CONFORMAL MAPS

In this paper, biharmonicity of some special maps from or into a warped product manifold are studied. First, we obtain the biharmonicity conditions of semiconformal maps from a Riemannian manifold into a warped product manifold. Next, we give some characterization for semi-conformal surjective maps from a warped product manifold onto a Riemannian manifold to be biharmonic. Finally, two new classes of non-harmonic biharmonic maps are constructed by using products of semi-conformal surjective maps Phi = phi x psi : M x N -> P x Q warping the domain or target.