Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of convex hyperbolic polyhedra and of convex
  polyhedra inscribed in the sphere   We describe a characterization of convex polyhedra in $\h^3$ in terms of
their dihedral angles, developed by Rivin. We also describe some geometric and
combinatorial consequences of that theory. One of these consequences is a
combinatorial characterization of convex polyhedra in $\E^3$ all of whose
vertices lie on the unit sphere. That resolves a problem posed by Jakob Steiner
in 1832.

10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex