论文标题

可访问性和部分双曲线流

Accessibility and centralizers for partially hyperbolic flows

论文作者

Fisher, Todd, Hasselblatt, Boris

论文摘要

部分双曲线差异性的稳定可访问性对于其千古理论至关重要,我们在1中建立了其\(c^1 \) - 密度1。All,2。量化量,3。Symplectic和4。接触部分双曲线流。 作为应用,我们在这4个类别中的每一个中获得\(c^1 \) - \(c^1 \)的密度 - 稳定的拓扑传递性,奇异性和琐碎性。

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.

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