Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rotationally invariant hypersurfaces with constant mean curvature in the
  Heisenberg group H^n   In this paper we study sets in the $n$-dimensional Heisenberg group $\hhn$
which are critical points, under a volume constraint, of the sub-Riemannian
perimeter associated to the distribution of horizontal vector fields in $\hhn$.
We define a notion of mean curvature for hypersurfaces and we show that the
boundary of a stationary set is a constant mean curvature (CMC) hypersurface.
Our definition coincides with previous ones.
  Our main result describes which are the CMC hypersurfaces of revolution in
$\hhn$. The fact that such a hypersurface is invariant under a compact group of
rotations allows us to reduce the CMC partial differential equation to a system
of ordinary differential equations. The analysis of the solutions leads us to
establish a counterpart in the Heisenberg group of the Delaunay classification
of constant mean curvature hypersurfaces of revolution in the Euclidean space.
Hence we classify the rotationally invariant isoperimetric sets in $\hhn$.

15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess