Minimal surfaces with helicoidal ends
Differential Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0405588,
title = {Minimal surfaces with helicoidal ends},
author = {Leonor Ferrer and Francisco Martin},
journal= {arXiv preprint arXiv:math/0405588},
year = {2007}
}
Comments
26 pages, 10 figures