Nilmanifolds with Anosov Automorphism

DOI10.1112/jlms/s2-18.3.553zbMath0399.58006OpenAlexW2047167786MaRDI QIDQ4183953

Shrikrishna G. Dani

Publication date: 1978

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-18.3.553

zbMATH Keywords

NilmanifoldsHomogeneous Space of a Lie GroupAnosov Automorphism

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Dynamical systems with hyperbolic behavior (37D99)

Related Items (15)

Some two-step and three-step nilpotent Lie groups with small automorphism groups ⋮ Topological rigidity of strong stable foliations for Cartan actions ⋮ Anosov automorphisms for nilmanifolds and rigidity of group actions ⋮ Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs ⋮ Constructing infra-nilmanifolds admitting an Anosov diffeomorphism ⋮ Anosov Lie algebras and algebraic units in number fields ⋮ Tensor products of algebras and their applications to the construction of Anosov diffeomorphisms ⋮ Anosov automorphisms on compact nilmanifolds associated with graphs ⋮ On Anosov automorphisms of nilmanifolds ⋮ The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\) ⋮ Anosov diffeomorphisms on nilmanifolds modelled on a free nilpotent Lie group ⋮ Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms ⋮ Examples of Anosov diffeomorphisms ⋮ Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups ⋮ Anosov diffeomorphisms on infra-nilmanifolds modeled on a free 2-step nilpotent Lie group

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