论文标题
一类部分双曲线差异性的动态不一致
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
论文作者
论文摘要
我们表明，如果Seifert歧管的部分双曲线差异形态诱导了具有伪-Anosov组件的基础中的地图，那么它就无法动态相干。这将Bonatti，Gogolev，Hammerlindl和Potrie的工作扩展到了整个同位素类别。我们将这些技术与作者在上一篇论文中执行的双曲线3个杂质中的某些部分双曲线差的研究联系起来。附录回顾了尼尔森·瑟斯顿（Nielsen-Thurston）表面同态分类的某些后果，以对此类地图的升力动力学到通用覆盖率。
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and Potrie to the whole isotopy class. We relate the techniques with the study of certain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds performed in the previous paper by the authors. The appendix reviews some consequences of the Nielsen-Thurston classification of surface homeomorphisms to the dynamics of lifts of such maps to the universal cover.
