Smooth linearization of commuting circle diffeomorphisms

• 成果类型: Article
• 署名作者: Fayad, Bassam; Khanin, Kostantin
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.170.961
• 发表日期: 2009
• 页码: 961-980
• 关键词: conjugation

摘要

We show that a finite number of commuting diffeomorphisms with simultaneously Diophantine rotation numbers are smoothly conjugated to rotations. This solves a problem raised by Moser.