Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge momenta as Casimir functions of nonholonomic systems   We consider nonholonomic systems with symmetry possessing a certain type of
first integrals that are linear in the velocities. We develop a systematic
method for modifying the standard nonholonomic almost Poisson structure that
describes the dynamics so that these integrals become Casimir functions after
reduction. This explains a number of recent results on Hamiltonization of
nonholonomic systems, and has consequences for the study of relative equilibria
in such systems.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc