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Toric integrable geodesic flows in odd dimensions
Toric integrable geodesic odd dimensions
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2011/1/18
Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n 6= 3 is odd, or if 1(Q) is infinite, we show that the cosphere bundle of Q...
Geodesic Flows and Neumann Systems on Stiefel Varieties. Geometry and Integrability
Geodesic Flows Neumann Systems n Stiefel Varieties Geometry and Integrability
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2010/11/10
We study integrable geodesic flows on Stiefel varieties $V_{n,r}=SO(n)/SO(n-r)$ given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics. We also consider natural generalizations ...