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

Details Structure theorems for embedded disks with mean curvature bounded in L^P Structure theorems for embedded disks with mean curvature bounded in L^P

2007-12-03

arxiv.org/abs/0712.0409v1

Mathematics

Differential Geometry

Scientific paper

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.

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