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arXiv · 1011.6539

Non-periodic Riemann examples with handles

Filippo Morabito·Martin Traizet
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Abstract

We show the existence of 1-parameter families of non-periodic, complete, embedded minimal surfaces in euclidean space with infinitely many parallel planar ends. In particular we are able to produce finite genus examples and quasi-periodic examples of infinite genus.

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Filippo Morabito, Martin Traizet. 2010-11-30. Non-periodic Riemann examples with handles. https://arxiv.org/abs/1011.6539

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