G. Sardanashvily
Published 2009-11-05, updated 2010-01-30Version 2
The Mishchenko-Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds. It is formulated in the case of globally superintegrable Hamiltonian systems which admit global generalized action-angle coordinates. The well known Kepler system falls into two different globally superintegrable systems with compact and noncompact invariant submanifolds.
Comments: 23 pages
Journal: Int. J. Geom. Methods Mod. Phys. v6 (2009) 1391-1420
Symmetry reduction and superintegrable Hamiltonian systems
Integrable and superintegrable Hamiltonian systems with four dimensional real Lie algebras as symmetry of the systems
Superintegrable Systems on Moduli Spaces of Flat Connections
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