Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard
  manifold with strictly negative sectional curvatures   We state and prove a Chern-Osserman Inequality in terms of the volume growth
for minimal surfaces properly immersed in a Cartan-Hadamard manifold N with
sectional curvatures bounded from above by a negative quantity.

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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin