Local density of diffeomorphisms with large centralizers

Abstract : Given any compact manifold M, we construct a non-empty open subset O of the space of C^1-diffeomorphisms of M and a dense subset D of O such that the centralizer of every diffeomorphism in D is uncountable, hence non-trivial.
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Submitted on : Wednesday, September 26, 2007 - 9:35:44 PM
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  • HAL Id : hal-00175146, version 1
  • ARXIV : 0709.4319

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Christian Bonatti, Sylvain Crovisier, Gioia Vago, Amie Wilkinson. Local density of diffeomorphisms with large centralizers. 2007. ⟨hal-00175146⟩

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