Quasi-isometry and Plaque Expansiveness
Printed: Dec 2011
We show that a partially hyperbolic diffeomorphism is plaque
expansive (a form of structural stability for its center foliation) if the
strong stable and unstable foliations are quasi-isometric in the universal
cover. In particular, all partially hyperbolic diffeomorphisms on the 3-torus
are plaque expansive.
37D30 - Partially hyperbolic systems and dominated splittings