Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661410 | Topology and its Applications | 2006 | 20 Pages |
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