Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational problems without having any non-trivial Lie variational
  symmetries   In this paper we construct variational problems without Lie non-trivial
variational symmetry and solving them using new class of symmetries
($\mu$-symmetry) which introduced by Guiseppe Gaeta and Paola Morando (2004).
The central object in this paper is horizontal one-form $\mu$ on first order
jet space $J^1 M$.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics