Structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles

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.

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Veröffentlicht in:Ergodic theory and dynamical systems 2024-01, Vol.44 (1), p.334-352
1. Verfasser: ZHANG, DANYU
Format: Artikel
Sprache:eng
Schlagworte:
Isomorphism
Lie groups
Neighborhoods
Original Article
Structural stability
Toruses
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Beschreibung
Zusammenfassung: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