Embedded minimal disks: Proper versus nonproper - global versus local

Details Embedded minimal disks: Proper versus nonproper - global versus local Embedded minimal disks: Proper versus nonproper - global versus local

2002-10-21

arxiv.org/abs/math/0210328v2

Trans. Amer. Math. Soc. 356 (2004), 283-289.

Mathematics

Differential Geometry

To appear in Transactions of the AMS; title changed

Scientific paper

We construct a sequence of embedded minimal disks in a ball where the
curvatures blow up only at the center. The sequence converges to a limit which
is not smooth and not proper.

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