Abstract
We consider left-invariant sub-Riemannian problems on three-dimensional unimodular Lie groups. We show that the Hamiltonian system of the Pontryagin maximum principle for such problems is Liouville integrable and even superintegrable (i.e., has four independent integrals, three of which are in involution).
Original language | English |
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Pages (from-to) | 1476-1483 |
Number of pages | 8 |
Journal | Differential Equations |
Volume | 51 |
Issue number | 11 |
DOIs | |
Publication status | Published - 1 Nov 2015 |