Mathematical Research Letters

Volume 11 (2004)

Number 6

A new integrable system on the sphere

Pages: 715 – 722

DOI: http://dx.doi.org/10.4310/MRL.2004.v11.n6.a1

Authors

Holger R. Dullin (Loughborough University)

Vladimir S. Matveev (Universität Freiburg)

Abstract

We present a new Liouville-integrable natural Hamiltonian system on the (cotangent bundle of the) sphere $S^2$. The second integral is cubic in the momenta.

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