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

Zhang, Xiang

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.

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