Nilpotent \((n, n(n + 1)/2)\) sub-Riemannian problem

DOI10.1007/s10450-006-9685-6zbMath1117.49036OpenAlexW2016115840WikidataQ115384729 ScholiaQ115384729MaRDI QIDQ882658

Oleg Myasnichenko

Publication date: 24 May 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10450-006-9685-6

zbMATH Keywords

sub-Riemannian geometrycausticPontryagin maximum principleLagrangian mappingSO\((n)\)-action

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Sub-Riemannian geometry (53C17) Optimality conditions for problems in abstract spaces (49K27)

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Cites Work

• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Nilpotent \((3, 6)\) sub-Riemannian problem
• Control theory from the geometric viewpoint.
• Exponential mappings for contact sub-Riemannian structures
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