A Stability Criterion for Nonparametric Minimal Submanifolds

Yng-Ing Lee, Mu-Tao Wang

An $n$ dimensional minimal submanifold $\Sigma$ of ${\mathbb{R}}^{n+m}$ is called non-parametric if $\Sigma$ can be represented as the graph of a vector-valued function $f:D\subset {\mathbb{R}}^n\mapsto {\mathbb{R}}^m$.…