Proves Liouville integrability of the magnetic geodesic flow on S^n with constant 2-form via quadratic and linear integrals in momenta.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2025 2verdicts
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Develops sufficient conditions for integrable systems to descend under Poisson reductions of generalized Hamiltonian torus actions, with applications to systems on doubles of compact Lie groups and moduli spaces of flat connections.
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Integrability of the magnetic geodesic flow on the sphere with a constant 2-form
Proves Liouville integrability of the magnetic geodesic flow on S^n with constant 2-form via quadratic and linear integrals in momenta.
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Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
Develops sufficient conditions for integrable systems to descend under Poisson reductions of generalized Hamiltonian torus actions, with applications to systems on doubles of compact Lie groups and moduli spaces of flat connections.