论文标题
关于编成一个部分双曲线的差异性
On codimension one partially hyperbolic diffeomorphisms
论文作者
论文摘要
我们表明,每个编纂的一个部分双曲线差异形态必须支持$ \ Mathbb {t}^{n} $。它是局部唯一的集成,并源自线性的编成anosov差异性。此外,该系统本质上是奇异的,并且A. katok对具有中间熵的厄尔及癌措施的猜想所持有的。
We show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{n}$. It is locally uniquely integrable and derived from a linear codimension one Anosov diffeomorphism. Moreover, this system is intrinsically ergodic, and the A. Katok's conjecture about the existence of ergodic measures with intermediate entropies holds for it.