Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic
  space   Various transformations of isothermic surfaces are discussed and their
interrelations are analyzed. Applications to cmc-1 surfaces in hyperbolic space
and their minimal cousins in Euclidean space are presented: the Umehara-Yamada
perturbation, the classical and Bryant's Weierstrass type representations, and
the duality for cmc-1 surfaces are interpreted in terms of transformations of
isothermic surfaces. A new Weierstrass type representation is introduced and a
Moebius geometric characterization of cmc-1 surfaces in hyperbolic space and
minimal surfaces in Euclidean space is given.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom