Embedded minimal disks: Proper versus nonproper - global versus local

2002/10/31 by Tobias H. Colding, William P. Minicozzi II · 1 citation
Mathematics · #math.DG #math.AP

paper · pdf

published as Trans. Amer. Math. Soc. 356 (2004), 283-289. · To appear in Transactions of the AMS; title changed

arxiv created 2002/11/12 · arxiv updated 2009/11/30

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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• Minimal Surfaces of Finite Genus: Classification, Dynamics and Laminations

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