%0 Journal Article
%T Twistorial harmonic morphisms with one-dimensional fibres on self-dual four-manifolds
%A R. Pantilie
%A J. C. Wood
%J Mathematics
%D 2003
%I arXiv
%X We introduce a general notion of twistorial map and classify twistorial harmonic morphisms with one-dimensional fibres from self-dual four-manifolds. Such maps can be characterised as those which pull back Abelian monopoles to self-dual connections. In fact, the constructions involve solving a generalised monopole equation, and also the Beltrami fields equation of hydrodynamics, and lead to constructions of self-dual metrics.
%U http://arxiv.org/abs/math/0305110v3