Reduced dynamics and Lagrangian submanifolds of symplectic manifolds

DOI10.1088/1751-8113/47/22/225203zbMath1295.53086arXiv1402.2847OpenAlexW2019748316MaRDI QIDQ4979925

Tom Mestdag, Elisa Guzmán, Eduardo García-Toraño Andrés, Juan Carlos Marrero

Publication date: 19 June 2014

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

Full work available at URL: https://arxiv.org/abs/1402.2847

zbMATH Keywords

Lagrangian submanifoldMarsden-Weinstein reductionLagrange-Poincaré equationsTulczyjew tripleHamilton-Poincaré equations

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hamilton's equations (70H05) Lagrangian submanifolds; Maslov index (53D12) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Lagrange's equations (70H03)

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