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Saddle towers with infinitely many ends

Laurent Mazet·M. Magdalena Rodriguez·Martin Traizet
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Abstract

We prove the existence of nonperiodic, properly embedded minimal surfaces in $\mathbb{R}^2\times\mathbb{S}^1$ with genus zero, infinitely many ends and one limit end (in particular, they have infinite total curvature).

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Laurent Mazet, M. Magdalena Rodriguez, Martin Traizet. 2006-11-23. Saddle towers with infinitely many ends. https://arxiv.org/abs/math/0611731

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