Minimal surfaces with helicoidal ends

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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.
26 pages, 10 figures

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Differential Geometry, primary 53A10; secondary 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/71387

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405588
 http://arxiv.org/abs/math/0405588

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arXiv