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math.DG2012★ 1 cited
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…
math.DG2012
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…