Topological Type of Limit Laminations of Embedded Minimal Disks
Differential Geometry
2016-05-27 v2
Abstract
We consider two natural classes of minimal laminations in three-manifolds. Both classes may be thought of as limits - in different senses - of embedded minimal disks. In both cases, we prove that, under a natural geometric assumption on the three-manifold, the leaves of these laminations are topologically either disks, annuli or Moebius bands. This answers a question posed by Hoffman and White.
Keywords
Cite
@article{arxiv.1309.6260,
title = {Topological Type of Limit Laminations of Embedded Minimal Disks},
author = {Jacob Bernstein and Giuseppe Tinaglia},
journal= {arXiv preprint arXiv:1309.6260},
year = {2016}
}
Comments
21 pages. Published version