Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotonicity formula for complete hypersurfaces in the Hyperbolic space
  and applications   In this paper we prove a monotonicity formula for the integral of the mean
curvature for complete and proper hypersurfaces of the hyperbolic space and, as
consequences, we obtain a lower bound for the integral of the mean curvature
and that the integral of the mean curvature is infinity.

8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat