部分双曲性和伪阿诺索夫动力学

IF 2.4 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2024-02-07 DOI:10.1007/s00039-024-00670-1

Sergio R. Fenley, Rafael Potrie

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引用次数: 0

摘要

我们证明，如果双曲 3-manifold 存在部分双曲衍射，那么它也存在阿诺索夫流。此外，我们给出了双曲 3manifold 中的部分双曲差分形以及 Seifert 流形中的部分双曲差分形的完整分类，这些差分形在基中诱发了伪阿诺索夫动力学。这种分类是根据它们的中心（分支）叶状结构和塌缩阿诺索夫流的概念给出的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Partial Hyperbolicity and Pseudo-Anosov Dynamics

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Partial Hyperbolicity and Pseudo-Anosov Dynamics

We show that if a hyperbolic 3-manifold admits a partially hyperbolic diffeomorphism then it also admits an Anosov flow. Moreover, we give a complete classification of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds as well as partially hyperbolic diffeomorphisms in Seifert manifolds inducing pseudo-Anosov dynamics in the base. This classification is given in terms of the structure of their center (branching) foliations and the notion of collapsed Anosov flows.

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来源期刊

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.