Anosov Diffeomorphisms on Nilmanifolds

DOI10.2307/2039303zbMath0242.58004OpenAlexW4212880448MaRDI QIDQ5653390

Anthony Manning

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2039303

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential topological aspects of diffeomorphisms (57R50) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Aspherical products which do not support Anosov diffeomorphisms, The zeta functions of Ruelle and Selberg. I, Notes on Global Product Structure, Diffeomorphism group valued cocycles over higher-rank abelian Anosov actions, Classification of special Anosov endomorphisms of nil-manifolds, Stable ergodicity of skew products, On the density of Birkhoff sums for Anosov diffeomorphisms, Anosov diffeomorphisms of products II. Aspherical manifolds, Fixed Points of Anosov Maps of Certain Manifolds

Cites Work

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• Anosov maps, polycyclic groups and homology
• Homologie singulière des espaces fibrés. Applications
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• Anosov Diffeomorphisms on Tori
• Endomorphisms of Compact Differentiable Manifolds
• Differentiable dynamical systems
• Periodic Points and Measures for Axiom a Diffeomorphisms