Euler-Poincaré reduction for systems with configuration space isotropy

DOI10.3934/jgm.2011.3.261zbMath1300.37038OpenAlexW2320087910MaRDI QIDQ646793

Cristina Stoica, Tanya Schmah, Jeffrey K. Lawson

Publication date: 17 November 2011

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2011.3.261

zbMATH Keywords

Euler-Poincaré reductionslice theoremEuler-Poincaré-Lagrange bundle equationssymmetric Lagrangian

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

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