Relative equilibria of Lagrangian systems with symmetry

DOI10.1016/j.geomphys.2008.02.008zbMath1188.70053arXiv0802.1421OpenAlexW2133856844MaRDI QIDQ931827

Mike Crampin, Tom Mestdag

Publication date: 26 June 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1421

zbMATH Keywords

Lie groupmomentum mapLewis criterionSaari conjecture

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

Related Items (4)

On Lagrangian and Hamiltonian systems with homogeneous trajectories ⋮ The Geometry of Speed Limiting Resources in Physical Models of Computation ⋮ Anholonomic frames in constrained dynamics ⋮ On the existence of homogeneous geodesics in homogeneous Kropina spaces

Cites Work

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• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Existence of stationary geodesics of left-invariant Lagrangians
• Reduction theory and the Lagrange–Routh equations
• Invariant Lagrangians, mechanical connections and the Lagrange–Poincaré equations
• Routh’s procedure for non-Abelian symmetry groups

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