Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Ricci solitons and twistorial harmonic morphisms   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.

35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an