7 citations · 32 across the 14 of their papers we have counts for
10 papers · 1 filter
Four-dimensional Einstein metrics from biconformal deformations
Paul Baird, Jade Ventura
Biconformal deformations take place in the presence of a conformal foliation, deforming by different factors tangent to and orthogonal to the foliation. Four-manifolds endowed with…
Biharmonic conformal maps in dimension four and equations of Yamabe-type
Paul Baird, Ye-Lin Ou
We prove that the problem of constructing biharmonic conformal maps on a -dimensional Einstein manifold reduces to a Yamabe-type equation. This allows us to construct an infinit…
A class of analytic pairs of conjugate functions in dimension three
Paul Baird, Elsa Ghandour
We exploit an ansatz in order to construct power series expansions for pairs of conjugate functions defined on domains of Euclidean --space. Convergence properties of the result…
On Ricci solitons and twistorial harmonic morphisms
Paul Baird, Radu Pantilie
We study the soliton flow on the domain of a twistorial harmonic morphism between Riemannian manifolds of dimensions four and three. Assuming real-analyticity, we prove that, for t…
On Functions with a Conjugate
Paul Baird, Michael Eastwood
Harmonic functions of two variables are exactly those that admit a conjugate, namely a function whose gradient has the same length and is everywhere orthogonal to the gradient of t…
CR geometry and conformal foliations
Paul Baird, Michael Eastwood
We use the CR geometry of the standard hyperquadric in complex projective three-space to give a detailed twistor description of conformal foliations in Euclidean three-space.