Helicoid-Like Minimal Disks and Uniqueness

Mathematics – Differential Geometry

Scientific paper

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17 pages, LaTex; substantially expanded and revised per referee's suggestions; To appear J. Reine. Angew. Math

Scientific paper

We show that an embedded minimal disk in R^3 with large curvature is
bilipschitz with a piece of a helicoid. Additionally, a simplified proof of the
uniqueness of the helicoid is provided.

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