Isometry classes of simply connected nilmanifolds

DOI10.1016/j.geomphys.2018.06.014zbMath1439.22019OpenAlexW2877453030WikidataQ129546352 ScholiaQ129546352MaRDI QIDQ1664027

Ágota Figula, Péter T. Nagy

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.06.014

zbMATH Keywords

nilmanifoldsfiliform Lie algebrasframed metric Lie algebrasnilpotent metric Lie algebras

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30)

Related Items (7)

Invariant conformal Killing-Yano 2-forms on five-dimensional Lie groups ⋮ Isometry groups of six-dimensional filiform nilmanifolds ⋮ Isometry groups of six-dimensional nilmanifolds ⋮ Geodesic vectors and flat totally geodesic subalgebras in nilpotent metric Lie algebras ⋮ Geodesic vectors and flat totally geodesic subalgebras of six-dimensional filiform metric Lie algebras ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Randers Ricci soliton homogeneous nilmanifolds

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
• 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

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