First-order invariants of Euclidean motions

DOI10.1007/BF00047045zbMath0737.70001OpenAlexW1967454856MaRDI QIDQ1181703

C. G. Gibson, Peter S. Donelan

Publication date: 27 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047045

zbMATH Keywords

kinematicsLie algebraLie groupGrassmannianinvariant polynomialsstratificationsrigid motionsfinite invariantscrew-systems

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (4)

Invariants of the \(k\)-fold adjoint action of the Euclidean isometry group ⋮ Hyperbolic Pseudoinverses for Kinematics in the Euclidean Group ⋮ Singularities of holonomic and non-holonomic robotic systems: a normal form approach ⋮ On the hierarchy of screw systems

Cites Work

• Generic properties in Euclidean kinematics
• Lectures on introduction to moduli problems and orbit spaces
• The fundamental invariants of inhomogeneous classical groups
• The invariant polynomial algebras for the groups IU(n) and ISO(n)
• Invariant Polynomials on Lie Algebras of Inhomogeneous Unitary and Special Orthogonal Groups
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