Title: Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups

Authors: A. P. Mashtakov, Yu. L. Sachkov

Journal title: Differential equations

Year: 2015

Issue: 11

Abstract:

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.

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