Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group Invariant Solutions in Mathematical Physics and Differential
  Geometry   This is a brief overview of our work on the theory of group invariant
solutions to differential equations. The motivations and applications of this
work stem from problems in differential geometry and relativistic field theory.
The key feature in our theory is that we allow for non-transverse symmetry
group actions, which are very common in applications.

3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an