Title: Integrability of left-invariant sub-Riemannian structures on the special linear group
Authors: A.P. Mashtakov, Yu.L. Sachkov
Journal title: Differential Equations
We show that the Hamiltonian system of ordinary differential equations of the Pontryagin maximum principle for left-invariant sub-Riemannian structures of elliptic type on the Lie group SL2(R) is Liouville integrable.