论文标题
崩溃了Anosov的流动和自轨道等价
Collapsed Anosov flows and self orbit equivalences
论文作者
论文摘要
我们提出了离散化的Anosov流的概念的概括，该概念涵盖了3个manifolds中的一系列部分双曲线差异，并且我们称之为倒塌的Anosov流动。它们与Anosov通过自轨道等效的流动有关。我们表明，Bonatti，Gogolev，Hammerlindl和第三作者属于该类别的论文中构建的所有示例属于该类别，并且它是部分双曲线差异性的开放和封闭的类。我们提供了一些等效的定义，这些定义可能更适合分析，并且在不同情况下很有用。相反，我们描述了与某些类型的Anosov流相关的Anosov流折叠的部分双曲线差异性。
We propose a generalization of the concept of discretized Anosov flows that covers a wide class of partially hyperbolic diffeomorphisms in 3-manifolds, and that we call collapsed Anosov flows. They are related with Anosov flows via a self orbit equivalence of the flow. We show that all the examples constructed in a paper by Bonatti, Gogolev, Hammerlindl and the third author belong to this class, and that it is an open and closed class among partially hyperbolic diffeomorphisms. We provide some equivalent definitions which may be more amenable to analysis and are useful in different situations. Conversely we describe the class of partially hyperbolic diffeomorphisms that are collapsed Anosov flows associated with certain types of Anosov flows.
