Proves Liouville integrability of the magnetic geodesic flow on S^n with constant 2-form via quadratic and linear integrals in momenta.
A note on the C. Neumann problem
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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.