Harmonic morphisms with one-dimensional fibres on conformally-flat Riemannian manifolds
arXiv:math/0610361
Abstract
We classify the harmonic morphisms with one-dimensional fibres (1) from real-analytic conformally-flat Riemannian manifolds of dimension at least four, and (2) between conformally-flat Riemannian manifolds of dimensions at least three.
13 pages