Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable weighted minimal surfaces in manifolds with nonnegative
  Bakry-Emery Ricci tensor   In this paper, we study stable weighted minimal hypersurfaces in manifolds
with nonnegative Bakry-Emery Ricci curvature. We will give some geometric and
topological applications. In particular, we give some partial classification of
complete 3-manifolds with nonnegative Bakry-Emery Ricci curvature assuming that
$f$ is bounded.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con