Rolling sphere problems on spaces of constant curvature

DOI10.1017/S0305004108001084zbMath1147.49037MaRDI QIDQ3506454

Jason A. Zimmerman, Velimir Jurdjevic

Publication date: 13 June 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

path of minimal lengthleft invariant optimal control problems on Lie groupsnon-Eulidean situation

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Variational problems in a geometric measure-theoretic setting (49Q20) Control of mechanical systems (70Q05)

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Cites Work

• Integrable Hamiltonian systems connected with graded Lie algebras
• The geometry of the plate-ball problem
• Optimal control of the sphere \(S^n\) rolling on \(E^n\)
• Knotted Elastic Curves in R ³
• [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
• On Hammersley's minimum problem for a rolling sphere