Partial hyperbolicity on 3-dimensional nilmanifolds

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Abstract

Every partially hyperbolic dieomorphism on a 3-dimensional nil- manifold is leaf conjugate to a nilmanifold automorphism. Moreover, if the nilmanifold is not the 3-torus, the center foliation is an invariant circle bundle.
Original languageEnglish
Pages (from-to)3641 - 3669
Number of pages29
JournalDiscrete and Continuous Dynamical Systems Series A
Volume33
Issue number8
DOIs
Publication statusPublished - 2013
Externally publishedYes

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