%0 Journal Article %T Harmonic morphisms on heaven spaces %A Paul Baird %A Radu Pantilie %J Mathematics %D 2007 %I arXiv %R 10.1112/blms/bdp006 %X We prove that any (real or complex) analytic horizontally conformal submersion from a three-dimensional conformal manifold M to a two-dimensional conformal manifold N can be, locally, `extended' to a unique harmonic morphism from the heaven space of M to N. %U http://arxiv.org/abs/0709.0672v1