Communications in Analysis and Geometry

Volume 19 (2011)

Number 3

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

Pages: 487 – 502

DOI: http://dx.doi.org/10.4310/CAG.2011.v19.n3.a2

Authors

David Hoffman (Department of Mathematics, Stanford University)

Brian White (Department of Mathematics, Stanford University)

Abstract

For any prescribed closed subset of a line in Euclidean3-space, we construct a sequence of minimal disks that areproperly embedded in an open solid cylinder around theline and that have curvatures blowing up precisely atthe points of the closed set.

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