Biharmonic maps between warped product manifolds

Biharmonic maps between warped products are studied. The main results are: (i)the condition for the biharmonicity of the inclusion of a Riemannian manifold NN into the warped product M×f2N and of the projection π¯:M×f2N→M;(ii)the construction of two new classes of non-harmonic biharmonic maps using products of harmonic maps ϕ=1M×ψ:M×N→M×N and warping the metric on their domain or codomain;(iii)the study of three classes of axially symmetric biharmonic maps, using the warped product setting.