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arXiv:0906.2176 [math.DS]AbstractReferencesReviewsResources

Symbolic extensions for partially hyperbolic diffeomorphisms

Lorenzo J. Diaz, Todd Fisher

Published 2009-06-11Version 1

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.

Comments: 19 pages, 3 figures
Categories: math.DS
Subjects: 37D30, 37C05, 37C20, 37B10
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