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arXiv · 0712.0409

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

Giuseppe Tinaglia
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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.

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Giuseppe Tinaglia. 2007-12-03. Structure theorems for embedded disks with mean curvature bounded in L^P. https://arxiv.org/abs/0712.0409

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