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



David Hoffman (Department of Mathematics, Stanford University)

Brian White (Department of Mathematics, Stanford University)


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.

Published 3 October 2011