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

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.

preprint2014arXivOpen access
Alexey P. MashtakovYuri L. Sachkov
math.OC
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Open access2 authors1 topic
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Alexey P. MashtakovYuri L. Sachkov

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