Closed geodesics on compact nilmanifolds with Chevalley rational structure

DOI10.1007/s00229-008-0206-7zbMath1162.53032arXivmath/0703930OpenAlexW2009632765MaRDI QIDQ1003133

Rachelle C. Decoste

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703930

zbMATH Keywords

closed geodesic2-step nilmanifold2-step nilpotent Lie groupChevalley rational structureDCG property

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (4)

Graphs and metric 2-step nilpotent Lie algebras ⋮ Totally geodesic subalgebras in 2-step nilpotent Lie algebras ⋮ Magnetic trajectories on 2-step nilmanifolds ⋮ Periodic magnetic geodesics on Heisenberg manifolds

Cites Work

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• Riemannian nilmanifolds attached to Clifford modules
• Homogeneous nilmanifolds attached to representations of compact Lie groups
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• Geometry of $2$-step nilpotent groups with a left invariant metric
• The length spectrum of Riemannian two-step nilmanifolds1
• Smoothly closed geodesics on 2-step nilmanifolds
• Introduction to Lie Algebras and Representation Theory
• Closed geodesics in compact nilmanifolds

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