Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded geometry in relatively hyperbolic groups   We prove that, if a group is relatively hyperbolic, the parabolic subgroups
are virtually nilpotent if and only if there exists a hyperbolic space with
bounded geometry on which it acts geometrically finitely.
  This provides, by use of M. Bonk and O. Schramm embedding theorem, a very
short proof of the finiteness of asymptotic dimension of relatively hyperbolic
groups with virtually nilpotent parabolic subgroups (which is known to imply
Novikov conjectures

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
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
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph