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arxiv: 1011.6539 · v1 · pith:SVELNNL7new · submitted 2010-11-30 · 🧮 math.DG

Non-periodic Riemann examples with handles

classification 🧮 math.DG
keywords examplesgenusnon-periodicablecompleteembeddedendseuclidean
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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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