Trivial centralizers for codimension-one attractors

被引：10

作者：

Fisher, Todd ^{[1
]}

机构：

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

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2009年 / 41卷

关键词：

DIFFEOMORPHISMS;

D O I：

10.1112/blms/bdn100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if Lambda is a codimension-one hyperbolic attractor for a C(r) diffeomorphism f, where 2 <= r <= infinity, and f is not Anosov, then there is a neighborhood of f in Diff(r)(M) and an open and dense set of such that any g is an element of has a trivial centralizer on the basin of attraction for Lambda.

引用

页码：51 / 56

页数：6

共 13 条

[1]

BONATTI C, 2007, LOCAL DENSITY DIFFEO

[2]

BONATTI C, 2008, C1 GENERIC DIFFEOMOR

[3] Centralizers of partially hyperbolic diffeomorphisms [J].