Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary structure of convex sets in the hyperbolic space   We prove some results concerning the boundary of a convex set in $\H^n$. This
includes the convergence of curvature measures under Hausdorff convergence of
the sets, the study of normal points, and, for convex surfaces, a generalized
Gauss equation and some natural characterizations of the regular part of the
Gaussian curvature measure.

16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
3
The categories of this paper are: physics