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arXiv · 1210.4688

On Ricci solitons and twistorial harmonic morphisms

Paul Baird·Radu Pantilie
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Abstract

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 the Gibbons-Hawking construction, any soliton flow is uniquely determined by its restriction to any local section of the corresponding harmonic morphism. For the Beltrami fields construction, we identify a contour integral whose vanishing characterises the trivial soliton flows.

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Paul Baird, Radu Pantilie. 2012-10-17. On Ricci solitons and twistorial harmonic morphisms. https://arxiv.org/abs/1210.4688

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