Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform hyperbolicity in nonflat billiards   Uniform hyperbolicity is a strong chaotic property which holds, in
particular, for Sinai billiards. In this paper, we consider the case of a
nonflat billiard, that is, a Riemannian manifold with boundary. Each trajectory
follows the geodesic flow in the interior of the billiard, and bounces when it
meets the boundary. We give a sufficient condition for a nonflat billiard to be
uniformly hyperbolic. As a particular case, we obtain a new criterion to show
that a closed surface has an Anosov geodesic flow.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an