Flat pseudo-Riemannian manifolds with a nilpotent transitive group of isometries

DOI10.1007/BF00128341zbMath0810.53038MaRDI QIDQ1205530

Della C. Duncan, Edwin C. Ihrig

Publication date: 1 April 1993

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

group of isometrieshomogeneous pseudo-Riemannian manifoldsflat homogeneous spacetimestranslationally isotropic

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Translationally isotropic flat homogeneous manifolds with metric signature \((n,2)\) ⋮ Isometric actions on pseudo-Riemannian nilmanifolds ⋮ Flat pseudo-Riemannian homogeneous spaces with non-abelian holonomy group

Cites Work

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• Isotropic manifolds of indefinite metric
• On compact homogeneous affine manifolds
• Affine Manifolds and Orbits of Algebraic Groups
• On Quotient Varieties and the Affine Embedding of Certain Homogeneous Spaces
• Translations in Certain Groups of Affine Motions
• A Remark on Homogeneous Convex Domains
• Homogeneous Spacetimes of Zero Curvature
• Homogeneous Manifolds of Zero Curvature

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