Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups

A.P. Mashtakov, Yu L. Sachkov

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)

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 languageEnglish
Pages (from-to)1476-1483
Number of pages8
JournalDifferential Equations
Volume51
Issue number11
DOIs
Publication statusPublished - 1 Nov 2015

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