Structure theorems for embedded disks with mean curvature bounded in L^P
Differential Geometry
2007-12-05 v1
Abstract
After appropriate normalizations an embedded disk whose second fundamental form has large norm contains a multi-valued graph, provided the L^P norm of the mean curvature is sufficiently small. This generalizes to non-minimal surfaces a well known result of Colding and Minicozzi.
Keywords
Cite
@article{arxiv.0712.0409,
title = {Structure theorems for embedded disks with mean curvature bounded in L^P},
author = {Giuseppe Tinaglia},
journal= {arXiv preprint arXiv:0712.0409},
year = {2007}
}