Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The relation between systems and associated bundles   It is shown that a strong system of vector fields on a fiber bundle in the
sense of [Modugno, M. Systems of connections and invariant lagrangians. In:
Differential geometric methods in theoretical physics, Proc. 15th Int. Conf.,
DGM, Clausthal/FRG 1986, 518-534 World Scientific Publishing Co. (1987)] is
induced from a principal fiber bundle if and only if each vertical vector field
of the system is complete.

24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc