Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center

Affiliation auteursAffiliation ok
TitreTransitive partially hyperbolic diffeomorphisms with one-dimensional neutral center
Type de publicationJournal Article
Year of Publication2020
AuteursBonatti C, Zhang J
JournalSCIENCE CHINA-MATHEMATICS
Volume63
Pagination1647-1670
Date PublishedSEP
Type of ArticleArticle
ISSN1674-7283
Mots-clésconjugacy, neutral, partial hyperbolicity dynamical coherence, transitivity
Résumé

In this paper, we study transitive partially hyperbolic diffeomorphisms with one-dimensional topologically neutral center, meaning that the length of the iterate of small center segments remains small. Such systems are dynamically coherent. We show that there exists a continuous metric along the center foliation which is invariant under the dynamics. As an application, we classify the transitive partially hyperbolic diffeomorphisms on 3-manifolds with topologically neutral center.
DOI10.1007/s11425-019-1751-2