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Quasi-isometry and Plaque Expansiveness

Published online by Cambridge University Press:  20 November 2018

Andy Hammerlindl*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4e-mail: andy@math.utoronto.edu
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Abstract

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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.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2011

References

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