Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deforming a map into a harmonic map   Using a flow first introduced by J.P. Anderson, we obtain some existence
theorems for harmonic maps from a noncompact complete Riemannian manifold into
a complete Riemannian manifold. In particular, we prove as a corollary a recent
result of Hardt and Wolf stating that any quasisymmetric map of the sphere that
is sufficiently close to the identity can be extended to a quasiconformal
harmonic diffeomorphism of the hyperbolic ball.
  This version contains a much simpler proof than the first version.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph