Riemannian isometry groups containing transitive reductive subgroups

DOI10.1007/BF01421956zbMath0412.53026WikidataQ115393563 ScholiaQ115393563MaRDI QIDQ1260375

Carolyn S. Gordon

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163376

zbMATH Keywords

homogeneous Riemannian manifoldnoncompact typeRiemannian isometry groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items

A step towards the Alekseevskii conjecture ⋮ Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups ⋮ Transitive Riemannian isometry groups with nilpotent radicals ⋮ The isometry groups of simply connected 3-dimensional unimodular Lie groups ⋮ The Fine Structure of Transitive Riemannian Isometry Groups. I ⋮ Maximal symmetry and unimodular solvmanifolds ⋮ Strongly solvable spaces ⋮ Isometries of nilpotent metric groups ⋮ The classifying Lie algebroid of a geometric structure. II: \(G\)-structures with connection ⋮ On isometry groups of pseudo-Riemannian compact Lie groups ⋮ Isometry Groups of Riemannian Solvmanifolds

Cites Work

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• On some types of topological groups
• Inclusion relations among transitive compact transformation groups