Journal of Differential Geometry
- J. Differential Geom.
- Volume 102, Number 1 (2016), 1-23.
Topological type of limit laminations of embedded minimal disks
Jacob Bernstein and Giuseppe Tinaglia
Abstract
We consider two natural classes of minimal laminations in threemanifolds. 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 have genus zero. This answers a question posed by Hoffman and White.
Article information
Source
J. Differential Geom., Volume 102, Number 1 (2016), 1-23.
Dates
First available in Project Euclid: 5 January 2016
Permanent link to this document
https://projecteuclid.org/euclid.jdg/1452002875
Digital Object Identifier
doi:10.4310/jdg/1452002875
Mathematical Reviews number (MathSciNet)
MR3447084
Zentralblatt MATH identifier
1348.53065
Citation
Bernstein, Jacob; Tinaglia, Giuseppe. Topological type of limit laminations of embedded minimal disks. J. Differential Geom. 102 (2016), no. 1, 1--23. doi:10.4310/jdg/1452002875. https://projecteuclid.org/euclid.jdg/1452002875
