Multi-valued graphs in embedded constant mean curvature disks
Abstract
Description
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 $|A|^2$, where $|A|^2$ is the norm squared of the second fundamental form. This generalizes Colding and Minicozzi's result for minimal surfaces.
22 pages, 13 figures
22 pages, 13 figures