Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special solutions for Ricci flow equation in 2D using the linearization
  approach   The 2D Ricci flow equation in the conformal gauge is studied using the
linearization approach. Using a non-linear substitution of logarithmic type,
the emergent quadratic equation is split in various ways. New special solutions
involving arbitrary functions are presented. Some special reductions are also
discussed.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga