Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertical Ends of Constant Mean Curvature H=1/2 in H^2\times R   We prove a vertical halfspace theorem for surfaces with constant mean
curvature $H={1/2},$ properly immersed in the product space $\h^2\times\re,$
where $\h^2$ is the hyperbolic plane and $\re$ is the set of real numbers. The
proof is a geometric application of the classical maximum principle for second
order elliptic PDE, using the family of non compact rotational $H=1/2$ surfaces
in $\h^2\times\re.$

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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: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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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: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: econ