Topological type of limit laminations of embedded minimal disks

TY - JOUR

T1 - Topological type of limit laminations of embedded minimal disks

AU - Bernstein, Jacob

AU - Tinaglia, Giuseppe

PY - 2016/1/5

Y1 - 2016/1/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84955504494&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84955504494

SN - 0022-040X

VL - 102

SP - 1

EP - 23

JO - JOURNAL OF DIFFERENTIAL GEOMETRY

JF - JOURNAL OF DIFFERENTIAL GEOMETRY

IS - 1

ER -