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.
Keywords:
noncommutative integrability, geodesic orbit spaces, complexity of homogeneous spaces, fiber bundles
Citation:
Jovanović B., Geodesic Flows on Riemannian g.o. Spaces, Regular and Chaotic Dynamics,
2011, Volume 16, Number 5,
pp. 504-513