Oriented Birkhoff sections of Anosov flows
Dynamical Systems
2024-07-30 v2
Abstract
This paper gives 3 different proofs (independently obtained by the 3 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 -covered positively twisted.
Keywords
Cite
@article{arxiv.2212.06483,
title = {Oriented Birkhoff sections of Anosov flows},
author = {Masayuki Asaoka and Christian Bonatti and Théo Marty},
journal= {arXiv preprint arXiv:2212.06483},
year = {2024}
}
Comments
50 pages, 10 figures. New version: minor corrections and modifications, 4 new figures