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Embedded minimal disks: Proper versus nonproper - global versus local

Tobias H. Colding·William P. Minicozzi II
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Abstract

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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Tobias H. Colding, William P. Minicozzi II. 2002-11-12. Embedded minimal disks: Proper versus nonproper - global versus local. https://arxiv.org/abs/math/0210328

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