$C^r$-Closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle
Dynamical Systems
2021-09-23 v2
Abstract
For every , we prove the -closing lemma for general and conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle. In particular, it implies periodic points are dense for -generic conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle.
Cite
@article{arxiv.2004.06855,
title = {$C^r$-Closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle},
author = {Shaobo Gan and Yi Shi},
journal= {arXiv preprint arXiv:2004.06855},
year = {2021}
}