Maciej Błaszak 2005 J. Phys. A: Math. Gen. 38 1667 doi:10.1088/0305-4470/38/8/004
Separable systems with quadratic in momenta first integrals
Maciej Błaszak
Show affiliationsThe separability theory of Hamiltonian systems on Riemannian manifolds is reviewed and developed. Particular attention is paid to the systems generated by the so-called special conformal Killing tensors, i.e. Benenti systems. Then, infinitely many new classes of separable systems are constructed by appropriate deformations of Benenti class systems.
- PACS
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02.40.Ma Global differential geometry
- MSC
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53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
- Subjects
- Dates
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Issue 8 (25 February 2005)
Received 5 November 2004, in final form 30 December 2004
Published 9 February 2005
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Separable systems with quadratic in momenta first integrals
Maciej Błaszak 2005 J. Phys. A: Math. Gen. 38 1667
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