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.
|Number of pages||23|
|Journal||JOURNAL OF DIFFERENTIAL GEOMETRY|
|Publication status||Published - 5 Jan 2016|