Biharmonic maps from biconformal transformations with respect to isoparametric functions

By exploiting biconformal transformations of the metric we construct biharmonic functions and mappings from Riemannian manifolds. Isoparametric functions, characterized by the property that their level sets are parallel and of constant mean curvature, play an important role in the construction of examples. We extend our method to include triconformal deformations of the metrics with respect to the Hopf map from R4 to R3, which, in addition to a biconformal deformation of the domain, incorporates a conformal deformation of the codomain.