Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal volume representations are fuchsian   We prove a volume-rigidity theorem for fuchsian representations of
fundamental groups of hyperbolic k-manifolds into Isom(H^n). Namely, we show
that if M is a complete hyperbolic k-manifold with finite volume, then the
volume of any representation of its fundamental group into Isom(H^n), 3 <= k <=
n, is less than the volume of M, and the volume is maximal if and only if the
representation is discrete, faithful and ``k-fuchsian''.

18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph