Geodesics of a left-invariant nonholonomic Riemannian metric on the group of motions of the Euclidean plane

DOI10.1007/BF02104709zbMath0866.58022WikidataQ115392786 ScholiaQ115392786MaRDI QIDQ1920838

Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 14 August 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

variational problemgeodesicsLie groupEuclidean planenonholonomic Riemannian metricproper motions

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Nonholonomic systems related to the dynamics of a system of particles (70F25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

Pontryagin maximum principle, (co)adjoint representation, and normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups ⋮ Time minimization problem on the group of motions of a plane with admissible control in a half-disc ⋮ Extremal trajectories in a time-optimal problem on the group of motions of a plane with admissible control in a circular sector ⋮ Tracking of lines in spherical images via sub-Riemannian geodesics in \(\mathrm{SO}(3)\) ⋮ Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric ⋮ On pairs of metrics invariant under a cocompact action of a group

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Sub-Riemannian geometry
• Unnamed Item

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