A Stability Criterion for Nonparametric Minimal Submanifolds
Yng-Ing Lee, Mu-Tao Wang
Abstract
An n dimensional minimal submanifold Σ of n+m is called non-parametric if Σ can be represented as the graph of a vector-valued function f:D⊂ n 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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