Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Foliations for Quasi-Fuchsian 3-Manifolds   In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a
minimal surface whose principle curvature is less than 1, then it admits a
foliation such that each leaf is a surface of constant mean curvature. The key
method that we use here is volume preserving mean curvature flow.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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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-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int