Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Stability Criterion for Nonparametric Minimal Submanifolds   An $n$ dimensional minimal submanifold $\Sigma$ of $\R^{n+m}$ is called
non-parametric if $\Sigma$ can be represented as the graph of a vector-valued
function $f:D\subset \R^n \mapsto \R^m$. This note provides a sufficient
condition for the stability of such $\Sigma$ in terms of the norm of the
differential $df$.

12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th