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A new integrable system on the sphere

Mathematical Research Letters (2004) 11(5-6) 715-722
DOI: 10.4310/mrl.2004.v11.n6.a1
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Abstract

We present a new Liouville-integrable natural Hamiltonian system on the (cotangent bundle of the) sphere S2. The second integral is cubic in the momenta.

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Dullin, H. R., & Matveev, V. S. (2004). A new integrable system on the sphere. Mathematical Research Letters, 11(5–6), 715–722. https://doi.org/10.4310/mrl.2004.v11.n6.a1

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