Abstract
If the stable, centre and unstable foliations of a partially hyperbolic system are quasi-isometric, the system has Global Product Structure. This result also applies to Anosov systems and to other invariant splittings. If a partially hyperbolic system on a manifold with an abelian fundamental group has quasi-isometric stable and unstable foliations, the centre foliation is without holonomy. If, further, the system has Global Product Structure, then all centre leaves are homeomorphic.
| Original language | English |
|---|---|
| Pages (from-to) | 1585 - 1599 |
| Number of pages | 15 |
| Journal | Nonlinearity |
| Volume | 25 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2012 |
| Externally published | Yes |