Centralizers of C^1-generic diffeomorphisms

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

On the one hand, we prove that the spaces of C^1 symplectomorphisms and of C^1 volume-preserving diffeomorphisms both contain residual subsets of diffeomorphisms whose centralizers are trivial. On the other hand, we show that the space of C^1 diffeomorphisms of the circle and a non-empty open set of C^1 diffeomorphisms of the two-sphere contain dense subsets of diffeomorphisms whose centralizer has a sub-group isomorphic to R.

Keywords

Dynamical Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/117786

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610064
 http://arxiv.org/abs/math/0610064

Collections

arXiv