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arxiv: 0905.0851 · v4 · pith:S4LPGJANnew · submitted 2009-05-06 · 🧮 math.DG

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

classification 🧮 math.DG
keywords closedcurvaturesdisksembeddedlineminimalprescribedsegment
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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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