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Search: MSC category 37D30 ( Partially hyperbolic systems and dominated splittings )

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1. CMB 2011 (vol 54 pp. 676)

Hammerlindl, Andy
Quasi-isometry and Plaque Expansiveness
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.

Category:37D30

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