A Generalization of a Theorem on Naturally Reductive Homogeneous Spaces

DOI10.2307/2045317zbMath0542.53029OpenAlexW4240506014MaRDI QIDQ3330072

Oldřich Kowalski, Lieven Vanhecke

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045317

zbMATH Keywords

geodesicsone-parameter groups of isometrieslocal geodesic symmetries

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (9)

Unnamed Item ⋮ Locally symmetric quaternionic Kähler manifolds ⋮ On Lagrangian and Hamiltonian systems with homogeneous trajectories ⋮ Geodesic orbit metrics in compact homogeneous manifolds with equivalent isotropy submodules ⋮ Families of geodesic orbit spaces and related pseudo-Riemannian manifolds ⋮ Two natural generalizations of locally symmetric spaces ⋮ On compact Riemannian manifolds with volume-preserving symmetries ⋮ Modified \(H\)-type groups and symmetric-like Riemannian spaces ⋮ Two-point functions on Riemannian manifolds

Cites Work

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• The canonical geodesic involution and harmonic spaces
• Riemannian nilmanifolds attached to Clifford modules
• Geodesic spheres and symmetries in naturally reductive spaces
• Geodesic symmetries in spaces with special curvature tensors
• On the Geometry of Groups of Heisenberg Type
• The Automorphism Group of a Composition of Quadratic Forms

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