The Fine Structure of Transitive Riemannian Isometry Groups. I

DOI10.2307/1999706zbMath0565.53030OpenAlexW4229858206MaRDI QIDQ3679857

Carolyn S. Gordon, Edward N. Wilson

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999706

zbMATH Keywords

isometriessemisimple Levi factorstransitive transformation groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General properties and structure of real Lie groups (22E15)

Related Items

On the structure of geodesic orbit Riemannian spaces ⋮ Naturally Reductive Metrics of Nonpositive Ricci Curvature ⋮ On isometry groups of pseudo-Riemannian compact Lie groups ⋮ Isometry Groups of Riemannian Solvmanifolds

Cites Work

• The group of isometries of a left invariant Riemannian metric on a Lie group
• On a transitive transformation group of a compact group manifold
• Riemannian isometry groups containing transitive reductive subgroups
• Isometry Groups of Riemannian Solvmanifolds
• Inclusion relations among transitive compact transformation groups
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