English

A note on special polynomials and minimal surfaces

Differential Geometry 2016-02-18 v1

Abstract

When using Traizet's regeneration technique to construct minimal surfaces, the simplest nontrivial configurations are given as the roots of polynomials that satisfy a hypergeometric differential equation. We exhibit examples of simple minimal surfaces exhibiting the same behavior.

Keywords

Cite

@article{arxiv.1602.05266,
  title  = {A note on special polynomials and minimal surfaces},
  author = {Peter Connor},
  journal= {arXiv preprint arXiv:1602.05266},
  year   = {2016}
}
R2 v1 2026-06-22T12:51:51.857Z