A real-analytic Jordan curve cannot bound infinitely many relative minima of area

2006/11/30 by Michael Beeson, Beeson, Michael
Mathematics · #53A10 #Advanced Harmonic Analysis Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/0612001

openalex publication_date 2006/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let C be a real-analytic Jordan curve in R³. Then C cannot bound infinitely many disk-type minimal surfaces which provide relative minima of area.

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