5 papers · 1 filter
Harmonic morphisms between Weyl spaces and twistorial maps
E. Loubeau, R. Pantilie
We show that Weyl spaces provide a natural context for harmonic morphisms.
Twistorial harmonic morphisms with one-dimensional fibres on self-dual four-manifolds
R. Pantilie, J. C. Wood
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…
A new construction of Einstein self-dual metrics
Radu Pantilie, John C. Wood
We give a new construction of Ricci-flat self-dual metrics which is a natural extension of the Gibbons--Hawking ansatz. We also give characterisations of both these constructions,…
Harmonic morphisms with one-dimensional fibres on Einstein manifolds
Radu Pantilie, John C. Wood
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 r…
Topological restrictions for circle actions and harmonic morphisms
Radu Pantilie, John C. Wood
Let be a compact oriented smooth manifold which admits a smooth circle action with isolated fixed points which are isolated as singularities as well. Then all the Pontryagin…