×

Centralizers of partially hyperbolic diffeomorphisms. (English) Zbl 1115.37021

Summary: It has been conjectured that a generic diffeomorphism on a compact manifold will have trivial centralizer. In this paper we show that the conjecture is true within certain classes of partially hyperbolic diffeomorphisms.

MSC:

37D30 Partially hyperbolic systems and dominated splittings
37C05 Dynamical systems involving smooth mappings and diffeomorphisms
37C20 Generic properties, structural stability of dynamical systems
PDFBibTeX XMLCite
Full Text: DOI