arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

高维Anosov流与部分双曲流中强不稳定叶理的刚性

Rigidity from the strong unstable foliation for higher-dimensional Anosov and partially hyperbolic flows

Andrey Gogolev

arXiv 2609.38787首次发表:更新:

AI 中文总结

本文推广Burniol Clotet的刚性结果至高维Anosov流及其紧致李群等距扩张,证明强不稳定叶理等价蕴含时间重标度共轭。

AI 中文摘要

最近,Burniol Clotet证明了在3维流形上,具有等价强不稳定叶理的两个传递Anosov流在时间重标度意义下必共轭。我们进一步探究Burniol Clotet论证的机制,并处理高维Anosov流及其由紧致李群作等距扩张的情形。

英文摘要

Recently Burniol Clotet proved that two transitive Anosov flows on 3-manifolds with equivalent strong unstable foliations must be conjugate up to time rescaling. We further explore the mechanism of Burniol Clotet's argument and treat the case of higher-dimensional Anosov flows and their isometric extensions by compact Lie groups.

Comments17 pages

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑