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