Work

Skewed Anosov ﬂows in dimension 3 are Reeb-like

Year: 2025

Type: article

Abstract: We prove that in dimension 3, Anosov flows which are \mathbb{R} -covered and skewed are orbit equivalent to Reeb–Anosov flows. A linking number between invariant signed measures is used to characterize the existence of an invariant contact form or of a Birkhoff section with a given boundary. We also prove the existence of open book decompositions with one boundary component for Reeb–Anosov flows.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1619

Author: Théo Anaël Marty

Institution: Max Planck Institute for Mathematics

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408656597

FWCI: 6.801

Cites:

Cited by: 5

Related to: 10