7 citations · 7 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Jacobi fields along harmonic maps
John C. Wood
We show that Jacobi fields along harmonic maps between suitable spaces preserve conformality, holomorphicity, real isotropy and complex isotropy to first order; this last being one…
Jacobi fields along harmonic 2-spheres in are integrable
Luc Lemaire, John C. Wood
We show that any Jacobi field along a harmonic map from the 2-sphere to the complex projective plane is integrable (i.e., is tangent to a smooth variation through harmonic maps). T…