Goodman-Fried surgery, Birkhoff section, and R-covered Anosov flows
Dynamical Systems
2022-12-15 v2 Geometric Topology
Abstract
In this paper, we show that any topologically transitive Anosov flow on a closed three-dimensional manifold with the orientable weak stable and unstable foliations turns into an R-covered one by a Goodman-Fried surgery along periodic points. When a Birkhoff section of the Anosov flow is given, we can choose the periodic points from the boundary of the Birkhoff section.
Keywords
Cite
@article{arxiv.2108.08215,
title = {Goodman-Fried surgery, Birkhoff section, and R-covered Anosov flows},
author = {Masayuki Asaoka},
journal= {arXiv preprint arXiv:2108.08215},
year = {2022}
}
Comments
This paper is merged into arXiv:2212.06483