Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classification of radial or totally geodesic ends of real projective
  orbifolds I: a survey of results   Real projective structures on $n$-orbifolds are useful in understanding the
space of representations of discrete groups into $\mathrm{SL}(n+1, \mathbb{R})$
or $\mathrm{PGL}(n+1, \mathbb{R})$. A recent work shows that many hyperbolic
manifolds deform to manifolds with such structures not projectively equivalent
to the original ones. The purpose of this paper is to understand the structures
of ends of real projective $n$-dimensional orbifolds. In particular, these have
the radial or totally geodesic ends. Hyperbolic manifolds with cusps and
hyper-ideal ends are examples. For this, we will study the natural conditions
on eigenvalues of holonomy representations of ends when these ends are
manageably understandable. We will show that only the radial or totally
geodesic ends of lens type or horospherical ends exist for strongly irreducible
properly convex real projective orbifolds under the suitable conditions. The
purpose of this article is to announce these results.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys