Year: 2008
Type: article
Abstract: We show that if Λ is a codimension-one hyperbolic attractor for a Cr diffeomorphism f, where 2 ⩽ r ⩽ ∞, and f is not Anosov, then there is a neighborhood 𝒰 of f in Diffr(M) and an open and dense set 𝒱 of 𝒰 such that any g ∈ 𝒱 has a trivial centralizer on the basin of attraction for Λ.
DOI: 10.1112/blms/bdn100
Author: Todd Fisher
Institution: Brigham Young University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2019761248