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arxiv: 1304.6180 · v1 · pith:BYDURMQTnew · submitted 2013-04-23 · 🧮 math.DG

Helicoidal minimal surfaces of prescribed genus, II

classification 🧮 math.DG
keywords genusminimalasymptoticcompleteembeddedeuclideanexistshelicoid
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We prove that for each positive integer g, there exists a complete minimal surface of genus g that is properly embedded in three-dimensional euclidean space and that is asymptotic to the helicoid.

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