Transitive Riemannian isometry groups with nilpotent radicals

DOI10.5802/aif.835zbMath0441.53034OpenAlexW2023202699WikidataQ115158987 ScholiaQ115158987MaRDI QIDQ1143020

Carolyn S. Gordon

Publication date: 1981

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1981__31_2_193_0

zbMATH Keywords

isometry groupshomogeneous Riemannian manifoldsLevi decompositionstransitive subgroups

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) General properties and structure of real Lie groups (22E15) Noncompact Lie groups of transformations (57S20)

Related Items (4)

Metric equivalences of Heintze groups and applications to classifications in low dimension ⋮ Isometric actions on pseudo-Riemannian nilmanifolds ⋮ On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups ⋮ Isometry Groups of Riemannian Solvmanifolds

Cites Work

• Isometry groups on homogeneous nilmanifolds
• On a transitive transformation group of a compact group manifold
• Riemannian isometry groups containing transitive reductive subgroups
• Homogeneous Manifolds with Negative Curvature. I
• Homogeneous manifolds with negative curvature. II
• Inclusion relations among transitive compact transformation groups
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