Isometry groups of six-dimensional filiform nilmanifolds

DOI10.22108/ijgt.2022.131891.1767OpenAlexW4362715368MaRDI QIDQ5876622

Sameer Annon Abbas, Ágota Figula

Publication date: 1 February 2023

Full work available at URL: https://doaj.org/article/55a0d6483a31496486c09380decec7cf

zbMATH Keywords

filiform metric Lie algebrasfiliform nilpotent Lie groupsisometry groups of nilmanifoldsthe group of orthogonal automorphisms of metric Lie algebras

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)

Related Items

Isometry groups of six-dimensional nilmanifolds ⋮ Geodesic vectors and flat totally geodesic subalgebras of six-dimensional filiform metric Lie algebras

Cites Work

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• The geometry of filiform nilpotent Lie groups
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• Isometry groups on homogeneous nilmanifolds
• Homogeneous nilmanifolds of dimensions 3 and 4
• Isometry classes of simply connected nilmanifolds
• The moduli space of six-dimensional two-step nilpotent Lie algebras
• Totally Geodesic Subalgebras of Nilpotent Lie algebras
• Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras