Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sub-Riemannian geodesics on the three-dimensional solvable non-nilpotent
  Lie group $SOLV^-$   In this paper we describe the geodesics of a left-invariant sub-Riemannian
metric on the three-dimensional solvable Lie group $SOLV^-$.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs