Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector fields in the presence of a contact structure   We consider the Lie algebra of all vector fields on a contact manifold as a
module over the Lie subalgebra of contact vector fields. This module is split
into a direct sum of two submodules: the contact algebra itself and the space
of tangent vector fields. We study the geometric nature of these two modules.

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int