Geodesic vectors and flat totally geodesic subalgebras of six-dimensional filiform metric Lie algebras

DOI10.1007/S00022-023-00703-4MaRDI QIDQ6181319

Ágota Figula, Sameer Annon Abbas

Publication date: 22 January 2024

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

zbMATH Keywords

nilmanifoldsgeodesic vectorsfiliform metric Lie algebrastotally geodesic subalgebras

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Group actions on manifolds and cell complexes in low dimensions (57M60) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Geodesic vectors and subalgebras in two-step nilpotent metric Lie algebras
• Isometry classes of simply connected nilmanifolds
• Geometry of 2-Step Nilpotent Groups with a Left Invariant Metric. II
• Totally Geodesic Subalgebras of Nilpotent Lie algebras
• Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras
• Isometry groups of six-dimensional filiform nilmanifolds

This page was built for publication: Geodesic vectors and flat totally geodesic subalgebras of six-dimensional filiform metric Lie algebras