Centre bunching without dynamical coherence

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We answer a question of Burns and Wilkinson, showing that there are open families of volume-preserving partially hyperbolic diffeomorphisms which are accessible and centre bunched and neither dynamically coherent nor Anosov. We also show in the volume-preserving setting that any diffeomorphism which is partially hyperbolic and Anosov may be isotoped to a diffeomorphism which is partially hyperbolic and not Anosov.

Original languageEnglish
Pages (from-to)151-157
Number of pages7
JournalDynamical Systems
Issue number2
Publication statusPublished - 2 Apr 2016


  • accessibility
  • centre bunching
  • ergodicity
  • Partial hyperbolicity

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