Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Willmore surfaces in spheres: the DPW approach via the conformal Gauss
  map   The paper builds a DPW approach of Willmore surfaces via conformal Gauss
maps. As applications, we provide descriptions of minimal surfaces in $\mathbb
R^{n+2}$, isotropic surfaces in $S^4$ and homogeneous Willmore tori via the
loop group method. A new example of a Willmore two-sphere in $S^6$ without dual
surfaces is also presented.

25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph