Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater

DOI10.1070/SM8886zbMath1394.37091OpenAlexW2793065790WikidataQ115316461 ScholiaQ115316461MaRDI QIDQ4579942

L. V. Lokutsievskiy, Yuri L. Sachkov

Publication date: 10 August 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8886

zbMATH Keywords

sub-Riemannian geometryLiouville integrabilityseparatrix splittingCarnot groupgrowth vectorMelnikov-Poincaré method

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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