Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal immersions of prescribed mean curvature in R^3   We prove the existence of (branched) conformal immersions F: S^2 -> R^3 with
mean curvature H > 0 arbitrarily prescribed up to a 3-dimensional affine
indeterminacy. A similar result is proved for the space forms S^3, H^3 and
partial results for surfaces of higher genus.

3
The categories of this paper are: physics
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The categories of this paper are: econ
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-fin