Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles

We show that a fibre-preserving self-diffeomorphism which has hyperbolic splittings along the fibres on a compact principal torus bundle is topologically conjugate to a map that is linear in the fibres.

Saved in:
Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 44; no. 1; pp. 334 - 352
Main Author ZHANG, DANYU
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.01.2024
Subjects
Original Article
37D99
topological conjugacy
37C15
fibrewise Anosov diffeomorphisms
Online AccessGet full text

Cover

More Information
Summary:We show that a fibre-preserving self-diffeomorphism which has hyperbolic splittings along the fibres on a compact principal torus bundle is topologically conjugate to a map that is linear in the fibres.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2023.4