Anosov diffeomorphisms on nilmanifolds modelled on a free nilpotent Lie group

DOI10.1080/14689360802506177zbMath1160.37008OpenAlexW2163526250WikidataQ115295418 ScholiaQ115295418MaRDI QIDQ3617642

Kelly Verheyen, Karel Dekimpe

Publication date: 30 March 2009

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360802506177

zbMATH Keywords

nilmanifoldhyperbolic matrixanosov diffeomorphism

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Solvable, nilpotent (super)algebras (17B30)

Related Items (4)

Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs ⋮ Constructing infra-nilmanifolds admitting an Anosov diffeomorphism ⋮ A new method for constructing Anosov Lie algebras ⋮ Graphs and two-step nilpotent Lie algebras

Cites Work

• Tensor products of algebras and their applications to the construction of Anosov diffeomorphisms
• Examples of Anosov Lie algebras
• Examples of Anosov diffeomorphisms
• Anosov maps, polycyclic groups and homology
• Hyperbolic automorphisms and Anosov diffeomorphisms on nilmanifolds
• Nilmanifolds with Anosov Automorphism
• Anosov automorphisms on compact nilmanifolds associated with graphs
• ANOSOV AUTOMORPHISMS ON CERTAIN CLASSES OF NILMANIFOLDS
• There are No New Anosov Diffeomorphisms on Tori

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