Constructing infra-nilmanifolds admitting an Anosov diffeomorphism
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Publication:649597
DOI10.1016/j.aim.2011.08.008zbMath1252.37021OpenAlexW2063313627MaRDI QIDQ649597
Publication date: 2 December 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2011.08.008
Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)
Related Items (5)
Log-scale equidistribution of zeros of quantum ergodic eigensections ⋮ Classification of K -forms in nilpotent Lie algebras associated to graphs ⋮ Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs ⋮ A new method for constructing Anosov Lie algebras ⋮ Automorphism groups of nilpotent Lie algebras associated to certain graphs
Cites Work
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- Examples of Anosov Lie algebras
- Anosov diffeomorphisms on infra-nilmanifolds modeled on a free 2-step nilpotent Lie group
- Anosov diffeomorphisms of nilmanifolds of dimension at most six
- Examples of Anosov diffeomorphisms
- Anosov automorphisms of nilpotent Lie algebras
- Anosov diffeomorphisms of flat manifolds
- Almost-Bieberbach groups: affine and polynomial structures
- Anosov diffeomorphisms on nilmanifolds modelled on a free nilpotent Lie group
- Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms
- THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD
- Nilmanifolds with Anosov Automorphism
- Anosov automorphisms on compact nilmanifolds associated with graphs
- AFFINE STRUCTURES FOR CLOSED 3-DIMENSIONAL MANIFOLDS WITH NIL-GEOMETRY
- ANOSOV AUTOMORPHISMS ON CERTAIN CLASSES OF NILMANIFOLDS
- There are No New Anosov Diffeomorphisms on Tori
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