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arXiv · 0807.0973

An end-to-end-construction for singly periodic minimal surfaces

Laurent Hauswirth·Filippo Morabito·Magdalena Rodriguez
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Abstract

We show the existence of various families of properly embedded singly periodic minimal surfaces in R^3 with finite arbitrary genus and Scherk type ends in the quotient. The proof of our results is based on the gluing of small perturbations of pieces of already known minimal surfaces.

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Laurent Hauswirth, Filippo Morabito, Magdalena Rodriguez. 2008-07-07. An end-to-end-construction for singly periodic minimal surfaces. https://arxiv.org/abs/0807.0973

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