2-环面上的 Anosov 自同态：叶状结构的正则性与刚性
动力系统
2023-09-06 v4
摘要
我们给出 2-环面上两个 Anosov 自同态之间光滑共轭的充分条件。由此，我们还探讨了稳定与不稳定叶状结构的正则性如何蕴含某类自同态内部的光滑共轭，该类包含例如具有常数 Jacobian 的自同态。作为推论，我们在此类中得到特殊 Anosov 自同态与其线性化之间光滑共轭的一个刻画。
引用
@article{arxiv.2104.01693,
title = {Anosov Endomorphisms on the 2-torus: Regularity of foliations and rigidity},
author = {Marisa Cantarino and Régis Varão},
journal= {arXiv preprint arXiv:2104.01693},
year = {2023}
}
备注
This is an author-created, un-coyedited version of an article accepted for publication in Nonlinearity. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/acf267