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

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.

Cited by in corpus (2)

• On integrability of certain rank 2 sub-Riemannian structures
• Sub-Riemannian and almost-Riemannian geodesics on SO(3) and $S^2$