A Class of Integrable Geodesic Flows on the Symplectic Group and the Symmetric Matrices

Anthony M. Bloch, Arieh Iserles, Jerrold E. Marsden +1

This paper shows that the left-invariant geodesic flow on the symplectic group relative to the Frobenius metric is an integrable system that is not contained in the Mishchenko-Fome…