Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigidity of entire self-shrinking solutions to K\"ahler-Ricci flow on
  complex plane   We show that every entire self-shrinking solution on $\mathbb{C}^1$ to the
K\"ahler-Ricci flow must be generated from a quadratic potential.

1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat