Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

• 成果类型: Article
• 署名作者: Bonatti, Christian; Gogolev, Andrey; Potrie, Rafael
• 署名单位: Universite Bourgogne Europe; Centre National de la Recherche Scientifique (CNRS); State University of New York (SUNY) System; Binghamton University, SUNY; Universidad de la Republica, Uruguay
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-016-0663-7
• 发表日期: 2016
• 页码: 801-836
• 关键词: anosov flow; 3-manifolds; CLASSIFICATION

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.