Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deforming convex projective manifolds   We study a properly convex real projective manifold with (possibly empty)
compact, strictly convex boundary, and which consists of a compact part plus
finitely many convex ends. We extend a theorem of Koszul which asserts that for
a compact manifold without boundary the holonomies of properly convex
structures form an open subset of the representation variety. We also give a
relative version for non-compact (G,X)-manifolds of the openess of their
holonomies.

23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph