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A Stability Criterion for Nonparametric Minimal Submanifolds

Yng-Ing Lee·Mu-Tao Wang
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Abstract

An $n$ dimensional minimal submanifold $Σ$ of $\R^{n+m}$ is called non-parametric if $Σ$ 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 $Σ$ in terms of the norm of the differential $df$.

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Yng-Ing Lee, Mu-Tao Wang. 2002-11-01. A Stability Criterion for Nonparametric Minimal Submanifolds. https://arxiv.org/abs/math/0211018

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