Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Examples of $H$-hypersurfaces in $H^n \times R$ and geometric
  applications   In this paper we describe all rotation $H$-hypersurfaces in $H^n \times R$
and use them as barriers to prove existence and characterization of certain
vertical $H$-graphs and to give symmetry and uniqueness results for compact
$H$-hypersurfaces whose boundary is one or two parallel submanifolds in slices.
We also describe examples of translation $H$-hypersurfaces in $H^n \times R$.
For $n>2$ we obtain a complete embedded translation hypersurface generated by a
compact, simple, strictly convex curve. When $0 < H < \frac{n-1}{n}$ we obtain
a complete non-entire vertical graph over the non-mean convex domain bounded by
an equidistant hypersurface taking infinite boundary value data and infinite
asymptotic boundary value data.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg