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math-ph2005
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…
math.DG2005
A Discrete Theory of Connections on Principal Bundles
Melvin Leok, Jerrold E. Marsden, Alan D. Weinstein
Connections on principal bundles play a fundamental role in expressing the equations of motion for mechanical systems with symmetry in an intrinsic fashion. A discrete theory of co…