Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry problems on stationary isothermic surfaces in Euclidean spaces   Let $S$ be a smooth hypersurface properly embedded in $\mathbb R^N$ with $N
\geq 3$ and consider its tubular neighborhood $\mathcal N$. We show that, if a
heat flow over $\mathcal N$ with appropriate initial and boundary conditions
has $S$ as a stationary isothermic surface, then $S$ must have some sort of
symmetry.

14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th