Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

We construct examples of robustly transitive and stably ergodic partially hyperbolic diffeomorphisms f on compact 3-manifolds with fundamental groups of exponential growth such that f n is not homotopic to identity for all n > 0 . These provide counterexamples to a classification conjecture of Pu...

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Bibliographic Details
Published in:Inventiones mathematicae 2016-12, Vol.206 (3), p.801-836
Main Authors: Bonatti, Christian, Gogolev, Andrey, Potrie, Rafael
Format: Article
Language:English
Subjects:
Classification
Dynamical Systems
Ergodic processes
Formulas (mathematics)
Mathematics
Mathematics and Statistics
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Summary:We construct examples of robustly transitive and stably ergodic partially hyperbolic diffeomorphisms f on compact 3-manifolds with fundamental groups of exponential growth such that f n is not homotopic to identity for all n > 0 . These provide counterexamples to a classification conjecture of Pujals.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-016-0663-7