论文标题
$ c^r $ - 针对部分夸张的异常的引理与1D中心捆绑包
$C^r$-Closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle
论文作者
论文摘要
对于\ Mathbb {n} _ {\ geq2} \ cup \ {\ infty \} $的每一个$ r \，我们证明了$ c^r $ $ $ $ $ $ $ $ $ c^r $ $ $ c^r $ - 用于一般和保守的部分夸张和保守的尤其是具有一维中心束的部分夸张。特别是，它意味着周期性的点是$ c^r $ $ $的保守性，部分双曲线差异和一维中心捆绑包。
For every $r\in\mathbb{N}_{\geq2}\cup\{\infty\}$, we prove the $C^r$-closing lemma for general and conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle. In particular, it implies periodic points are dense for $C^r$-generic conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle.
