Journal of Differential Geometry

Topological type of limit laminations of embedded minimal disks

Jacob Bernstein and Giuseppe Tinaglia

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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


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