论文标题
部分双曲表面内态分类
Classification of partially hyperbolic surface endomorphisms
论文作者
论文摘要
我们表明,在没有周期性的中心annuli的情况下,部分双曲线表面内态在动态上是连贯的,并且叶子结合与线性化。我们继续表征在周期性中心Annuli存在下的动力学。这完成了部分双曲线表面内态的分类。
We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to characterise the dynamics in the presence of periodic centre annuli. This completes a classification of partially hyperbolic surface endomorphisms.