Title: Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups
Authors: A. P. Mashtakov, Yu. L. Sachkov
Journal title: Differential equations
Left-invariant sub-Riemannian problems on unimodular 3D Lie groups are considered. For the Hamiltonian system of Pontryagin maximum principle for sub-Riemannian geodesics, the Liouville integrability and superintegrability are proved.
ArXiv ID (ENG): 1405.1716