The structure of geodesic orbit Lorentz nilmanifolds

DOI10.1007/s12220-022-01134-4OpenAlexW4313890183MaRDI QIDQ2679616

Joseph A. Wolf, Yuri Nikolayevsky

Publication date: 23 January 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11256

zbMATH Keywords

weakly symmetric manifoldnaturally reductive manifoldgeodesic orbit manifoldLorentz nilmanifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Solvable, nilpotent (super)algebras (17B30)

Related Items (3)

The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Pseudo-Riemannian geodesic orbit nilmanifolds of signature \((n-2,2)\) ⋮ Unnamed Item

Cites Work

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• Naturally reductive pseudo-Riemannian spaces
• Pseudo-Riemannian weakly symmetric manifolds
• On maximal subgroups of real Lie groups
• Four-dimensional pseudo-Riemannian g.o. spaces and manifolds
• Double extensions on Riemannian Ricci nilsolitons
• On the geodesic orbit property for Lorentz manifolds
• Weakly symmetric pseudo-Riemannian nilmanifolds
• Compact geodesic orbit spaces with a simple isotropy group
• Homogeneous geodesics of non-reductive homogeneous pseudo-Riemannian 4-manifolds
• Isometric actions on pseudo-Riemannian nilmanifolds
• On locally symmetric spaces of non-negative curvature and certain other locally homogeneous spaces
• ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II
• On the Geometry of Groups of Heisenberg Type
• Algèbres de Lie et produit scalaire invariant
• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Naturally reductive pseudo Riemannian 2-step nilpotent Lie groups
• Riemannian Manifolds and Homogeneous Geodesics

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