Global rigidity of higher rank abelian Anosov algebraic actions

• 成果类型: Article
• 署名作者: Hertz, Federico Rodriguez; Wang, Zhiren
• 署名单位: Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Yale University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-014-0499-y
• 发表日期: 2014
• 页码: 165-209
• 关键词: diffeomorphisms; CLASSIFICATION; REGULARITY; tori

摘要

We show that all Anosov -actions on tori and nilmanifolds without rank-one factor actions are, up to conjugacy, actions by automorphisms.