Multi-valued graphs in embedded constant mean curvature disks
Differential Geometry
2007-05-23 v1
Abstract
In this paper we prove that an embedded and simply connected constant mean curvature surface with curvature large at a point contains a multi-valued graph around that point on the scale of , where is the norm squared of the second fundamental form. This generalizes Colding and Minicozzi's result for minimal surfaces.
Cite
@article{arxiv.math/0409184,
title = {Multi-valued graphs in embedded constant mean curvature disks},
author = {Giuseppe Tinaglia},
journal= {arXiv preprint arXiv:math/0409184},
year = {2007}
}
Comments
22 pages, 13 figures