Routhian reduction for quasi-invariant Lagrangians

DOI10.1063/1.3277181zbMath1309.70019arXiv0912.0863OpenAlexW2113230879MaRDI QIDQ5246545

Joris Vankerschaver, Bavo Langerock, Frans Cantrijn

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0863

Mathematics Subject Classification ID

Hamilton's equations (70H05) Motion of charged particles (78A35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

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Cites Work

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• Hamiltonian reduction by stages
• Reduction of symplectic manifolds with symmetry
• Momentum maps and Hamiltonian reduction
• Lagrangian reduction by stages
• Reduction theory and the Lagrange–Routh equations
• Routh’s procedure for non-Abelian symmetry groups
• Reduction of Hamilton's variational principle