Centralizers of area preserving diffeomorphisms on 𝑆²-Reference-Cited by-同舟云学术

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Centralizers of area preserving diffeomorphisms on 𝑆²

Published:2004-11-19 Issue:4 Volume:133 Page:1101-1108
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Burslem Lizzie

Abstract

It has been conjectured that a generic diffeomorphism on a compact manifold will have trivial centralizer. We give some partial results towards proving this conjecture within the class of area preserving diffeomorphisms of the sphere.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-04/S0002-9939-04-07675-0/S0002-9939-04-07675-0.pdf

Reference13 articles.

1. Diffeomorphisms with discrete centralizer;Anderson, Boyd;Topology,1976

2. Centralizers of expanding maps on tori;Arteaga, Carlos;Bol. Soc. Brasil. Mat. (N.S.),1995

3. Centralizers of partially hyperbolic diffeomorphisms;Burslem, Lizzie;Ergodic Theory Dynam. Systems,2004

4. Regions of instability for non-twist maps;Franks, John;Ergodic Theory Dynam. Systems,2003

5. Commuting diffeomorphisms;Kopell, Nancy,1970

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The C 1 generic diffeomorphism has trivial centralizer;Publications mathématiques de l'IHÉS;2009-04-30

2. $C^1$-generic conservative diffeomorphisms have trivial centralizer;Journal of Modern Dynamics;2008

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