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.
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页码：961 / 980
页数：20
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