Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle

• 成果类型: Article
• 署名作者: Hertz, F. Rodriguez; Hertz, M. A. Rodriguez; Ures, R.
• 署名单位: Universidad de la Republica, Uruguay
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-007-0100-z
• 发表日期: 2008
• 页码: 353-381
• 关键词: stability

摘要

We prove that stable ergodicity is C-r supercript stop open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r is an element of [2,infinity]. The proof follows the Pugh-Shub program [29]: among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, accessibility is C-r supercript stop open and dense, and essential accessibility implies ergodicity.