$C^1$-generic conservative diffeomorphisms have trivial centralizer
Work
Year: 2008
Type: article
Abstract: We prove that the spaces of $C^1$ symplectomorphisms and of $C^1$ volume-preserving diffeomorphisms of connected manifolds contain residual subsets of diffeomorphisms whose centralizers are trivial.
Source: Journal of Modern Dynamics
Institutions Institut de Mathématiques de Bourgogne, Institut de Mathématiques de Bordeaux, Université de Bourgogne, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications
Cites: 16
Cited by: 17
Related to: 10
FWCI: 0.639
Citation percentile (by year/subfield): 75
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze