Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poincar{\'e} and Sobolev inequalities for differential forms in
  Heisenberg groups   Poincar{\'e} and Sobolev inequalities for differential forms on Heisenberg
balls, involving Rumin's differentials, are given. Furthermore, a global
homotopy of Rumin's complex which improves differentiability of Rumin forms is
provided on any bounded geometry contact manifold.

1
The categories of this paper are: cs
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an