Harmonic morphisms with one-dimensional fibres on Einstein manifolds
arXiv:math/0106101
Abstract
We prove that, from an Einstein manifold of dimension greater than or equal to five, there are just two types of harmonic morphism with one-dimensional fibres. This generalizes a result of R.L. Bryant who obtained the same conclusion under the assumption that the domain has constant curvature.
Latex 2e, 21 pages