Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A construction of conformal-harmonic maps   Conformal harmonic maps from a 4-dimensional conformal manifold to a
Riemannian manifold are maps satisfying a certain conformally invariant fourth
order equation. We prove a general existence result for conformal harmonic
maps, analogous to the Eells-Sampson theorem for harmonic maps. The proof uses
a geometric flow and relies on results of Gursky-Viaclovsky and Lamm.

30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph