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Non-periodic Riemann examples with handles

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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Submitted on : Tuesday, February 5, 2013 - 3:44:10 PM
Last modification on : Thursday, March 5, 2020 - 5:32:49 PM
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Filippo Morabito, Martin Traizet. Non-periodic Riemann examples with handles. Advances in Mathematics, Elsevier, 2012, 229, pp.26--53. ⟨hal-00785185⟩

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