Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaussian Mean curvature flow   We consider the evolution of a $n$-dimensional convex hypersurface in the
euclidean space under mean curvature flow with densities $e^{\varepsilon
\frac12 n\mu^2 |x|^2}$, $\varepsilon =\pm 1$, and completely determine it
depending on the relation between $\mu$ and the upper or lower bound of the
normal curvatures of the evolving hypersurface at time 0.

8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio