Abstract
For every r∈N≥2∪{∞}, we prove the Cr-closing lemma for general and conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle. In particular, it implies periodic points are dense for Cr-generic conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have