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Center bunching without dynamical coherence

Research paper by Andy Hammerlindl

Indexed on: 31 Oct '14Published on: 31 Oct '14Published in: Mathematics - Dynamical Systems



Abstract

We answer a question of Burns and Wilkinson, showing that there are open families of volume-preserving partially hyperbolic diffeomorphisms which are accessible and center 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.