Axial minimal surfaces in S^2 x R are helicoidal
Differential Geometry
2013-04-02 v2
Abstract
We prove that if a complete, properly embedded, finite-topology minimal surface in S^2 x R contains a line, then its ends are asymptotic to helicoids, and that if the surface is an annulus, it must be a helicoid.
Cite
@article{arxiv.0909.2851,
title = {Axial minimal surfaces in S^2 x R are helicoidal},
author = {David Hoffman and Brian White},
journal= {arXiv preprint arXiv:0909.2851},
year = {2013}
}
Comments
7 pages. The revised version corrects a minor error on page 5