Totally geodesic subalgebras in 2-step nilpotent Lie algebras

DOI10.1216/RMJ-2015-45-5-1425zbMath1334.53041MaRDI QIDQ908250

Rachelle C. Decoste, Lisa DeMeyer

Publication date: 4 February 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1453817247

zbMATH Keywords

two-step nilpotent Lie algebratotally geodesic subalgebra

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25)

Cites Work

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• Closed geodesics on compact nilmanifolds with Chevalley rational structure
• Riemannian nilmanifolds attached to Clifford modules
• On the Geometry of Groups of Heisenberg Type
• Geometry of 2-Step Nilpotent Groups with a Left Invariant Metric. II
• 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
• Closed geodesics in compact nilmanifolds

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