Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the singularities of the curved n-body problem   We study singularities of the n-body problem in spaces of constant curvature
and generalize certain results due to Painleve, Weierstrass, and Sundman. For
positive curvature, some of our proofs use the correspondence between total
collision solutions of the original system and their orthogonal projection--a
property that offers a new method of approaching the problem in this particular
case.

33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga