English

Embedded minimal disks: Proper versus nonproper - global versus local

Differential Geometry 2007-05-23 v2 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0210328,
  title  = {Embedded minimal disks: Proper versus nonproper - global versus local},
  author = {Tobias H. Colding and William P. Minicozzi},
  journal= {arXiv preprint arXiv:math/0210328},
  year   = {2007}
}

Comments

To appear in Transactions of the AMS; title changed