Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New insights in brane and Kaluza--Klein theory through almost product
  structures   We will show that gauge theory can be described by an almost product
structure, which is a certain type of endomorphism of the tangent bundle. We
will recover the gauge field strength as the Nijenhuis tensor of this
endomorphism. We discuss a generalization to the case of a general Kaluza-Klein
theory. Furthermore, we will look at the classification of these almost product
structures in the case where we have a manifold with metric, and fit the
M-brane solutions into this classification scheme. In this analysis certain
algebraic properties of the space of differential forms and multivectors are
obtained. All analysis is global but we will give local expressions where we
find it suitable.

24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat