Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formulation of gauge theories on transitive Lie algebroids   In this paper we introduce and study some mathematical structures on top of
transitive Lie algebroids in order to formulate gauge theories in terms of
generalized connections and their curvature: metrics, Hodge star operator and
integration along the algebraic part of the transitive Lie algebroid (its
kernel). Explicit action functionals are given in terms of global objects and
in terms of their local description as well. We investigate applications of
these constructions to Atiyah Lie algebroids and to derivations on a vector
bundle. The obtained gauge theories are discussed with respect to ordinary and
to similar non-commutative gauge theories.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc