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A complete bounded minimal cylinder in R^3

Francisco Martin·Santiago Morales
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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.

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Francisco Martin, Santiago Morales. 2000-02-17. A complete bounded minimal cylinder in R^3. https://arxiv.org/abs/math/0002147

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