Structure theorems for embedded disks with mean curvature bounded in Lp

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2 Citations (Scopus)

Abstract

After appropriate normalizations, an embedded disk with second fundamental form large at a point contains a multi-valued graph around that point, 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.

Original languageEnglish
Pages (from-to)819-836
Number of pages18
JournalCommunications in Analysis and Geometry
Volume16
Issue number4
Publication statusPublished - Oct 2008

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