Article ID Journal Published Year Pages File Type
4661410 Topology and its Applications 2006 20 Pages PDF
Abstract

We prove that if F is a C1–foliation of a compact manifold M with finite transverse saturated LS category, , then F has a compact leaf. In contrast, we show that if F is expansive on some non-trivial minimal set of F, then . Examples of foliations are given to illustrate the main results of the paper.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology