Article ID Journal Published Year Pages File Type
4659696 Topology and its Applications 2011 6 Pages PDF
Abstract

We construct a family of codimension 1 foliations in a 3-manifold for which Thurstonʼs relative inequality holds, but for which the absolute one is violated. For this, we introduce a variant of these inequalities, which we call the relative(±) inequality. Also we determine the class of foliations for which the relative(±) inequality holds.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology