Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line

Mathematics – Differential Geometry

Scientific paper

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This version (Aug 31, 2011) corrects a few typos

Scientific paper

For any prescribed closed subset of a line segment in Euclidean 3-space, we
construct a sequence of minimal disks that are properly embedded in an open
solid cylinder around the segment and that have curvatures blowing up precisely
at the points of the closed set.

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