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1. CMB 2011 (vol 54 pp. 676)
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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 |