Minimal surfaces with helicoidal ends

Details Minimal surfaces with helicoidal ends Minimal surfaces with helicoidal ends

2004-05-31

arxiv.org/abs/math/0405588v1

Mathematics

Differential Geometry

26 pages, 10 figures

Scientific paper

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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