Transitivity of Heisenberg group extensions of hyperbolic systems

DOI10.1017/S014338571000091XzbMath1278.37036OpenAlexW2004218088MaRDI QIDQ2884084

Viorel Niţiča, Andrei Török, Ian Melbourne

Publication date: 24 May 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s014338571000091x

zbMATH Keywords

Heisenberg groupnilpotent Lie grouptopological transitivitybasic setgroup extension

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20)

Related Items (1)

Open and dense topological transitivity of extensions by non-compact fiber of hyperbolic systems: a review

Cites Work

• Unnamed Item
• Stable transitivity for extensions of hyperbolic systems by semidirect products of compact and nilpotent Lie groups
• Stable transitivity of certain noncompact extensions of hyperbolic systems
• Transitivity of Euclidean-type extensions of hyperbolic systems
• Stable transitivity of Euclidean group extensions
• Transitivity of Euclidean extensions of Anosov diffeomorphisms
• A new proof of Minkowski’s theorem on the product of two linear forms
• Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets
• An open dense set of stably ergodic diffeomorphisms in a neighborhood of a non-ergodic one
• Generic subgroups of Lie groups

This page was built for publication: Transitivity of Heisenberg group extensions of hyperbolic systems