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Quasi-isometry and Plaque Expansiveness

Published:2011-03-05
Printed: Dec 2011
• Andy Hammerlindl,
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4
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Abstract

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.
 MSC Classifications: 37D30 - Partially hyperbolic systems and dominated splittings