Goodman-Fried手术、Birkhoff截面与R覆盖Anosov流
动力系统
2022-12-15 v2 几何拓扑
摘要
本文中，我们证明：在弱稳定与弱不稳定叶层均可定向的闭三维流形上，任意拓扑传递的Anosov流，经沿周期点的Goodman-Fried手术可变为R覆盖的Anosov流。当给定该Anosov流的Birkhoff截面时，我们可从该Birkhoff截面的边界上选取周期点。
引用
@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}
}
备注
This paper is merged into arXiv:2212.06483