Geodesics on the ellipsoid and monodromy

After reviewing the properties of the geodesic flow on the three dimensional ellipsoid with distinct semi-axes, we investigate the three-dimensional ellipsoid with the two middle semi-axes being equal, corresponding to a Hamiltonian invariant under rotations. The system is Liouville-integrable, and...

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Bibliographic Details
Main Authors: C.M. Davison, Holger R. Dullin, Alexey Bolsinov
Format: Default Preprint
Published: 2007
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Online Access:https://hdl.handle.net/2134/2720
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