Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

Affiliation auteursAffiliation ok
TitreAnomalous partially hyperbolic diffeomorphisms II: stably ergodic examples
Type de publicationJournal Article
Year of Publication2016
AuteursBonatti C, Gogolev A, Potrie R
JournalINVENTIONES MATHEMATICAE
Volume206
Pagination801-836
Date PublishedDEC
Type of ArticleArticle
ISSN0020-9910
Résumé

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.

DOI10.1007/s00222-016-0663-7