阿诺索夫流的定向伯克霍夫截面

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2024-10-10 DOI:10.1112/topo.12356

Masayuki Asaoka, Christian Bonatti, Théo Marty

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引用次数: 0

摘要

本文给出了以下事实的三个不同证明（由三位作者独立完成）：给定定向 3-manifold上的阿诺索夫流，正伯克霍夫段的存在等同于该流是 R $\mathbb {R}$ 覆盖的正扭曲流。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Oriented Birkhoff sections of Anosov flows

This paper gives three different proofs (independently obtained by the three authors) of the following fact: given an Anosov flow on an oriented 3-manifold, the existence of a positive Birkhoff section is equivalent to the fact that the flow is $R$ -covered positively twisted.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.