C1-generic conservative diffeomorphisms have trivial centralizer

被引：10

作者：

Bonatti, Christian ^{[1
]}

Crovisier, Sylvain ^{[2
]}

Wilkinson, Amie ^{[3
]}

机构：

[1] Inst Math Bourgogne, CNRS, UMR 5584, F-21078 Dijon, France

[2] Univ Paris 13, CNRS, UMR 7539, Inst Galilee,Lab Anal Geomet & Applicat, F-934390 Villetaneuse, France

[3] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

JOURNAL OF MODERN DYNAMICS | 2008年 / 2卷 / 02期

基金：

美国国家科学基金会;

关键词：

trivial centralizer; trivial symmetries; C-1 generic properties;

D O I：

10.3934/jmd.2008.2.359

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the spaces of C-1 symplectomorphisms and of C-1 volume-preserving diffeomorphisms of connected manifolds contain residual subsets of diffeomorphisms whose centralizers are trivial.

引用

页码：359 / 373

页数：15

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