arXiv:2007.04352 Abstract | arXiv Analytics

arXiv:2007.04352 [math.DS]Abstract References Reviews Resources

Accessibility and centralizers for partially hyperbolic flows

Published 2020-07-08Version 1

Stable accessibility for partially hyperbolic diffeomorphisms is central to their ergodic theory, and we establish its \(C^1\)-density among 1. all, 2. volume-preserving, 3. symplectic, and 4. contact partially hyperbolic flows. As applications, we obtain in each of these 4 categories \(C^1\)-density of \(C^1\)-stable topological transitivity, ergodicity, and triviality of the centralizer.

Comments: 15 pages, 3 figures

Categories: math.DS

Subjects: 37D30

Keywords: centralizer, contact partially hyperbolic flows, partially hyperbolic diffeomorphisms, ergodic theory, symplectic

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