Examples of Anosov diffeomorphisms

DOI10.1016/S0021-8693(03)00030-9zbMath1015.37022arXivmath/0203126OpenAlexW1964981844MaRDI QIDQ1810557

Jorge Lauret

Publication date: 9 June 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203126

zbMATH Keywords

Lie algebranilpotent Lie groupnilmanifoldAnosov diffeomorphismhyperbolic automorphismsgraded rational Lie algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (12)

Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs ⋮ A remark about hyperbolic infranilautomorphisms ⋮ Measure rigidity of Anosov flows via the factorization method ⋮ Constructing infra-nilmanifolds admitting an Anosov diffeomorphism ⋮ Anosov Lie algebras and algebraic units in number fields ⋮ Rational forms of nilpotent Lie algebras and Anosov diffeomorphisms ⋮ On Anosov automorphisms of nilmanifolds ⋮ A new method for constructing Anosov Lie algebras ⋮ Anosov diffeomorphisms on nilmanifolds modelled on a free nilpotent Lie group ⋮ Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms ⋮ Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups ⋮ Carnot metrics, dynamics and local rigidity

Cites Work

• On the nilpotent Lie algebras of dimension \(\leq 7)\)
• Anosov diffeomorphisms of nilmanifolds of dimension at most six
• Anosov diffeomorphisms of flat manifolds
• Hyperbolic automorphisms and Anosov diffeomorphisms on nilmanifolds
• Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actions
• Nontoral Pinched Anosov Maps
• 7-Dimensional Nilpotent Lie Algebras
• Nilmanifolds with Anosov Automorphism
• A special class of nilmanifolds admitting an Anosov diffeomorphism
• Endomorphisms of Compact Differentiable Manifolds
• Differentiable dynamical systems
• There are No New Anosov Diffeomorphisms on Tori
• On the Classification of Metabelian Lie Algebras
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