On sub-Riemannian geodesics on the Engel groups: Hamilton's equations

DOI10.1002/MANA.201200259zbMath1432.53045OpenAlexW1606399822WikidataQ115405903 ScholiaQ115405903MaRDI QIDQ2862554

Jingzhi Tie, Malcolm R. Adams

Publication date: 15 November 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200259

zbMATH Keywords

Hamiltonian formalismEngel groupselliptic integralsHeisenberg groupssub-Riemannian geodesicsmartinet vector fields

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items (4)

On extensions of sub-Riemannian structures on Lie groups ⋮ Control systems on the Engel group ⋮ Integrability conditions on Engel-type manifolds ⋮ On the lack of semiconcavity of the subRiemannian distance in a class of Carnot groups

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• ON GEODESICS IN SUBRIEMANNIAN GEOMETRY II
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