Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slab Theorem and Halfspace Theorem for constant mean curvature surfaces
  in $\mathbb H^2\times\mathbb R$   We prove that a complete properly embedded surface in $\mathbb
H^2\times\mathbb R$ with constant mean curvature $0<H\leq \frac{1}{2}$ and an
annular end can not be contained in any horizontal slab. Moreover, we show that
a properly embedded surface with constant mean curvature $0<H\leq \frac{1}{2}$
contained in $\mathbb H^2\times[0,+\infty)$ and with finite topology is
necessarily a graph. For the case $H=\frac{1}{2}$, the graph is entire.

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The categories of this paper are: solv-int
3
The categories of this paper are: physics
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con