Centralizers of C^1-generic diffeomorphisms - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2006

Centralizers of C^1-generic diffeomorphisms

Abstract

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 and versions

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

Identifiers

Cite

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