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arXiv · 0710.3989

C1-generic conservative diffeomorphisms have trivial centralizer

Christian Bonatti·Sylvain Crovisier·Amie Wilkinson
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Abstract

We prove that the spaces of C1 symplectomorphisms and of C1 volume-preserving diffeomorphisms of connected manifolds both contain residual subsets of diffeomorphisms whose centralizers are trivial. (Les difféomorphismes conservatifs C1-génériques ont un centralisateur trivial. Nous montrons que l'espace des symplectomorphismes de classe C1 et l'espace des difféomomorphismes de classe C1 préservant une forme volume contiennent tous deux des sous-ensembles résiduels de difféomorphismes dont le centralisateur est trivial.)

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Christian Bonatti, Sylvain Crovisier, Amie Wilkinson. 2007-10-22. C1-generic conservative diffeomorphisms have trivial centralizer. https://arxiv.org/abs/0710.3989

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