Smooth linearization of commuting circle diffeomorphisms

被引：25

作者：

Fayad, Bassam ^{[1
]}

Khanin, Kostantin ^{[2
]}

机构：

[1] Univ Paris 13, Inst Galilee, F-93439 Villetaneuse, France

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

ANNALS OF MATHEMATICS | 2009年 / 170卷 / 02期

关键词：

CONJUGATION;

D O I：

10.4007/annals.2009.170.961

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：961 / 980

页数：20

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