paper

A complete bounded minimal cylinder in R^3

arXiv:math/0002147

Abstract

In 1996, Nadirashvili used Runge's theorem to produce a complete minimal disc inside a ball in R^3. In this paper we generalize the techniques used by Nadirashvili to obtain new examples of complete minimal surfaces inside a ball in R^3, with the conformal structure of an annulus.

18 pages, 3 figures

A complete bounded minimal cylinder in R^3 · wovepaper