Geodesics in the sub-Riemannian problem on the group SO(3)

DOI10.1070/SM8555zbMath1457.53015OpenAlexW2344357187WikidataQ115316570 ScholiaQ115316570MaRDI QIDQ2966677

Ivan Beschastnyi, Yuri L. Sachkov

Publication date: 8 March 2017

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

Full work available at URL: https://doi.org/10.1070/sm8555

zbMATH Keywords

optimal controlsub-Riemannian geometrygeodesic curvescut timealmost Riemannian geometry

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17)

Related Items (6)

Pontryagin maximum principle, (co)adjoint representation, and normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups ⋮ Sub-Riemannian geodesics on SL(2,ℝ) ⋮ Quantum confinement for the curvature Laplacian \(- \Delta + cK\) on 2D-almost-Riemannian manifolds ⋮ Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds ⋮ A note about integrable systems on low-dimensional Lie groups and Lie algebras ⋮ Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry

This page was built for publication: Geodesics in the sub-Riemannian problem on the group SO(3)