Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

作者:Bonatti Christian; Gogolev Andrey; Potrie Rafael*
来源:Inventiones Mathematicae, 2016, 206(3): 801-836.
DOI:10.1007/s00222-016-0663-7

摘要

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 is not homotopic to identity for all . These provide counterexamples to a classification conjecture of Pujals.

  • 出版日期2016-12