Graphs and metric 2-step nilpotent Lie algebras

DOI10.1515/ADVGEOM-2017-0052zbMath1396.22004arXiv1512.07944OpenAlexW2963422000MaRDI QIDQ1653976

Lisa DeMeyer, Meera G. Mainkar, Rachelle C. Decoste

Publication date: 7 August 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07944

zbMATH Keywords

closed geodesicsnilpotent Lie algebrasstar graphsHeisenberg-like Lie algebra

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25)

Related Items (8)

The Reidemeister spectrum of 2-step nilpotent groups determined by graphs ⋮ Abelian factors in 2-step nilpotent Lie algebras constructed from graphs ⋮ Classification of K -forms in nilpotent Lie algebras associated to graphs ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Automorphism groups of nilpotent Lie algebras associated to certain graphs ⋮ The geodesic flow on nilpotent Lie groups of steps two and three ⋮ The geodesic flow on nilmanifolds associated to graphs ⋮ Degenerations of graph Lie algebras

Cites Work

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• Closed geodesics on compact nilmanifolds with Chevalley rational structure
• Riemannian nilmanifolds attached to Clifford modules
• Problems in algebraic combinatorics
• Graphs and two-step nilpotent Lie algebras
• Geometry of $2$-step nilpotent groups with a left invariant metric
• The length spectrum of Riemannian two-step nilmanifolds1
• Anosov automorphisms on compact nilmanifolds associated with graphs
• Smoothly closed geodesics on 2-step nilmanifolds
• Closed geodesics in compact nilmanifolds
• A formula for the exponential of a real skew-symmetric matrix of order 4

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