Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superharmonicity of Logarithm of Jacobian of harmonic mappings between
  surfaces   We prove that the Logarithm of the Jacobian of a sense preserving harmonic
mappings between surfaces is superharmonic, provided that the Gaussian
curvature of the image domain is non-negative.

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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th