Symbolic extensions for partially hyperbolic diffeomorphisms

Details Symbolic extensions for partially hyperbolic diffeomorphisms Symbolic extensions for partially hyperbolic diffeomorphisms

2009-06-11

arxiv.org/abs/0906.2176v1

Mathematics

Dynamical Systems

19 pages, 3 figures

Scientific paper

We show that every partially hyperbolic diffeomorphism with a 1-dimensional
center bundle has a principal symbolic extension. On the other hand, we show
there are no symbolic extensions $C^1$-generically among diffeomorphisms
containing non-hyperbolic robustly transitive sets with center indecomposable
bundle of dimension at least 2.

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