Communications in Analysis and Geometry
Volume 16 (2008)
Structure theorems for embedded disks with mean curvature bounded in $L^p$
Pages: 819 – 836
After appropriate normalizations, an embedded disk with secondfundamental form large at a point contains a multi-valued grapharound that point, provided the $L^p$ norm of the mean curvature issufficiently small. This generalizes to non-minimal surfaces awell-known result of Colding and Minicozzi.
Published 1 January 2008