Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Channel linear Weingarten surfaces in space forms   Channel linear Weingarten surfaces in space forms are investigated in a Lie
sphere geometric setting, which allows for a uniform treatment of different
ambient geometries. We show that any channel linear Weingarten surface in a
space form is isothermic and, in particular, a surface of revolution in its
ambient space form. We obtain explicit parametrisations for channel surfaces of
constant Gauss curvature in space forms, and thereby for a large class of
linear Weingarten surfaces up to parallel transformation.

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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
9
The categories of this paper are: nlin