Geodesic flows on Riemannian g.o. spaces

Abstract

We prove the integrability of geodesic flows on the Riemannian g.o. spaces of compact Lie groups, as well as on a related class of Riemannian homogeneous spaces having an additional principal bundle structure.

12 pages, minor corrections, final version

References in corpus (6)

• Compact Riemannian Manifolds with Homogeneous Geodesics
• Symmetries and Integrability
• Geodesic Flows and Neumann Systems on Stiefel Varieties. Geometry and Integrability
• Singular Manakov Flows and Geodesic Flows on Homogeneous Spaces
• On Lagrangian and Hamiltonian systems with homogeneous trajectories
• Integrability of Invariant Geodesic Flows on n-Symmetric Spaces

Cited by in corpus (4)

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• Integrable systems associated to the filtrations of Lie algebras