Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rotationally invariant constant mean curvature surfaces in homogeneous
  3-manifolds   We classify constant mean curvature surfaces invariant by a 1-parameter group
of isometries in the Berger spheres and in the special linear group Sl(2, R).
In particular, all constant mean curvature spheres in those spaces are
described explicitly, proving that they are not always embedded. Besides new
examples of Delaunay-type surfaces are obtained. Finally the relation between
the area and volume of these spheres in the Berger spheres is studied, showing
that, in some cases, they are not solution to the isoperimetric problem.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn