Structure theorems for embedded disks with mean curvature bounded in $L^p$

Giuseppe Tinaglia
2008 Communications in analysis and geometry  
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.
doi:10.4310/cag.2008.v16.n4.a4 fatcat:phpevo3aabel5ltlrj77rmrsra