English

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

Differential Geometry 2015-05-25 v7

Abstract

Let C be a real-analytic Jordan curve in R3R^3. Then C cannot bound infinitely many disk-type minimal surfaces which provide relative minima of area.

Keywords

Cite

@article{arxiv.math/0612001,
  title  = {A real-analytic Jordan curve cannot bound infinitely many relative minima of area},
  author = {Michael Beeson},
  journal= {arXiv preprint arXiv:math/0612001},
  year   = {2015}
}

Comments

This revision removes some unnecessary lemmas, adds an outline of the proof, and corrects some typos