A stability criterion for nonparametric minimal submanifolds
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- Lee, YI. & Wang, MT. manuscripta math. (2003) 112: 161. doi:10.1007/s00229-003-0404-2
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An n-dimensional minimal submanifold Σ of ℝn+m is called non-parametric if Σ can be represented as the graph of a vector-valued function f : D⊂ℝn↦ℝm. This note provides a sufficient condition for the stability of such Σ in terms of the norm of the differential df.