| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9516325 | Topology | 2005 | 34 Pages |
Abstract
The known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong to 3 basic classes: perturbations of skew products over an Anosov map of T2, perturbations of the time one map of a transitive Anosov flow, and certain derived from Anosov diffeomorphisms of the torus T3. In this work we characterize the two first types by a local hypothesis associated to one closed periodic curve.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Christian Bonatti, Amie Wilkinson,