三维环面上 Anosov 微分同胚的可微共轭性
动力系统
2008-09-03 v2
摘要
我们考虑具有实谱的三维环面线性双曲自同构的 邻域内的两个 Anosov 微分同胚。我们证明，当且仅当对应周期点处回归映射的微分具有相同的特征值时，它们是 共轭的。
引用
@article{arxiv.0802.1720,
title = {Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus},
author = {Andrey Gogolev and Misha Guysinsky},
journal= {arXiv preprint arXiv:0802.1720},
year = {2008}
}
备注
Several minor errors are fixed. 18 pages, 6 figures. Comments are welcome