Open sets of diffeomorphisms with trivial centralizer in the C1 topology

被引：10

作者：

Bakker, Lennard ^{[1
]}

Fisher, Todd ^{[1
]}

机构：

[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

NONLINEARITY | 2014年 / 27卷 / 12期

关键词：

Anosov; hyperbolic; centralizer; rigidity; AUTOMORPHISMS; RIGIDITY;

D O I：

10.1088/0951-7715/27/12/2869

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the torus of dimension 2, 3 or 4, we show that the subset of diffeomorphisms with trivial centralizer in the C-1 topology has nonempty interior. We do this by developing two approaches, the fixed point and the odd prime periodic point, to obtain a trivial centralizer for an open neighbourhood of Anosov diffeomorphisms arbitrarily near certain irreducible hyperbolic toral automorphisms.

引用

页码：2869 / 2885

页数：17

共 28 条

[11]

Cohen H, 1993, GRADUATE TEXTS MATH, V138, DOI DOI 10.1007/978-3-662-02945-9

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