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arxiv: math/0405588 · v1 · submitted 2004-05-31 · 🧮 math.DG

Minimal surfaces with helicoidal ends

classification 🧮 math.DG
keywords endsminimalhelicoidaldiskssurfacesablecompleteconnects
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In this paper we describe a new deformation that connects minimal disks with planar ends with minimal disks with helicoidal ends. In this way, we are able to construct a family of complete minimal surfaces with helicoidal ends that contains the singly periodic genus one helicoid of Hoffman, Karcher and Wei.

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