Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence and convergence for a higher order flow in conformal
  geometry   We study a higher-order parabolic equation which generalizes the Ricci flow
on two-dimensional surfaces. The metric is deformed conformally with a speed
given by the Q-curvature of the metric. Under a condition on the Q-curvature of
the initial metric we show that the soluton exists for all time and converges
to a metric of prescribed Q-curvature.

6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph