On Anosov automorphisms of nilmanifolds

DOI10.1016/J.JPAA.2007.11.011zbMath1135.37011OpenAlexW1980873851MaRDI QIDQ2481811

Jorge Lauret, Cynthia E. Will

Publication date: 15 April 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2007.11.011

zbMATH Keywords

hyperbolic automorphismsrational formAnosov Lie algebrastypes of nilpotent Lie algebras

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Solvable, nilpotent (super)algebras (17B30) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (7)

Abelian factors in 2-step nilpotent Lie algebras constructed from graphs ⋮ Anosov Lie algebras and algebraic units in number fields ⋮ Rational forms of nilpotent Lie algebras and Anosov diffeomorphisms ⋮ Eventually periodic points of infra-nil endomorphisms ⋮ A new method for constructing Anosov Lie algebras ⋮ Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms ⋮ On closed manifolds admitting an Anosov diffeomorphism but no expanding map

Cites Work

• Rational forms of nilpotent Lie algebras and Anosov diffeomorphisms
• Anosov diffeomorphisms of nilmanifolds of dimension at most six
• Examples of Anosov diffeomorphisms
• Hyperbolic automorphisms and Anosov diffeomorphisms on nilmanifolds
• Nontoral Pinched Anosov Maps
• Nilmanifolds with Anosov Automorphism
• ANOSOV DIFFEOMORPHISMS ON A CLASS OF 2-STEP NILMANIFOLDS
• Anosov automorphisms on compact nilmanifolds associated with graphs
• A special class of nilmanifolds admitting an Anosov diffeomorphism
• Differentiable dynamical systems
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