Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Ricci flow on $\mathbb{R}^2$ to flat space   We prove that, starting at an initial metric $g(0)=e^{2u_0}(dx^2+dy^2)$ on
$\mathbb{R}^2$ with bounded scalar curvature and bounded $u_0$, the Ricci flow
$\partial_t g(t)=-R_{g(t)}g(t)$ converges to a flat metric on $\mathbb{R}^2$.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin