Burslem, Lizzie Centralizers of partially hyperbolic diffeomorphisms. (English) Zbl 1115.37021 Ergodic Theory Dyn. Syst. 24, No. 1, 55-87 (2004). 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. Cited in 1 ReviewCited in 11 Documents 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 \textit{L. Burslem}, Ergodic Theory Dyn. Syst. 24, No. 1, 55--87 (2004; Zbl 1115.37021) Full Text: DOI