$C^r$-Closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle

Autor:	Gan, Shaobo, Shi, Yi
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.06855 Zobrazit plný text záznamu View this record from Arxiv