Centralizers of C^1-generic diffeomorphisms - Université de Bourgogne Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2006

Centralizers of C^1-generic diffeomorphisms

Résumé

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.

Dates et versions

hal-00150943 , version 1 (01-06-2007)

Identifiants

Citer

Christian Bonatti, Sylvain Crovisier, Amie Wilkinson. Centralizers of C^1-generic diffeomorphisms. 2006. ⟨hal-00150943⟩
107 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More