Conjugate points in nilpotent sub-Riemannian problem on the Engel group

DOI10.1007/s10958-013-1584-2zbMath1295.53023arXiv1209.2865OpenAlexW2013610803WikidataQ115382373 ScholiaQ115382373MaRDI QIDQ2439420

Andrei A. Ardentov, Yuri L. Sachkov

Publication date: 14 March 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2865

zbMATH Keywords

global optimalityEngel grouplocal optimalityconjugate timesub-Riemanniannilpotent approximationgrowth vector

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Sub-Riemannian geometry (53C17)

Related Items (27)

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Cites Work

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• Sub-Riemannian structures on 3D Lie groups
• Conjugate points in the Euler elastic problem
• Solution to Euler's elastic problem
• Control theory from the geometric viewpoint.
• Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
• Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
• Complete description of the Maxwell strata in the generalized Dido problem
• Discrete symmetries in the generalized Dido problem
• The Maxwell set in the generalized Dido problem

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