Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $SO(2)$ symmetry of the translating solitons of the mean curvature flow
  in $\mathbb{R}^4$   In this paper, we prove that the translating solitons of the mean curvature
flow in $\mathbb{R}^4$ which arise as blow up limit of embedded, mean convex
mean curvature flow must have $SO(2)$ symmetry.

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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat