A Stability Criterion for Nonparametric Minimal Submanifolds
Resource
arXiv: 0211018
Journal
arXiv
Journal Issue
0211018
Pages
-
Date Issued
2002
Date
2002
Author(s)
Abstract
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.
Type
journal article
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