Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entire Constant Mean Curvature Graphs in $\mathbb{H}^2\times\mathbb{R}$   For $0\leq H< 1/2$, we construct entire $H$-graphs in
$\mathbb{H}^2\times\mathbb{R}$ that are parabolic and not invariant by one
parameter groups of isometries of $\mathbb{H}^2\times\mathbb{R}$. Their
asymptotic boundaries are $(\partial_\infty\mathbb{H}^2)\times\mathbb{R}$; they
are dense at infinity. When $H=0$ the examples are minimal graphs constructed
by P. Collin and the second author [2].

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The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs