Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convex projective structures on non-hyperbolic three-manifolds   Y. Benoist proved that if a closed three-manifold M admits an indecomposable
convex real projective structure, then M is topologically the union along tori
and Klein bottles of finitely many sub-manifolds each of which admits a
complete finite volume hyperbolic structure on its interior. We describe some
initial results in the direction of a potential converse to Benoist's theorem.
We show that a cusped hyperbolic three-manifold may, under certain assumptions,
be deformed to convex projective structures with totally geodesic torus
boundary. Such structures may be convexly glued together whenever the geometry
at the boundary matches up. In particular, we prove that many doubles of cusped
hyperbolic three-manifolds admit convex projective structures.

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The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
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The categories of this paper are: stat
14
The categories of this paper are: math-ph