Clebsch Canonization of Lie-Poisson Systems
DOI10.3934/jgm.2022017zbMath1531.37053arXiv2106.12552MaRDI QIDQ6371093
Buddhika Jayawardana, Tomoki Ohsawa, Philip J. Morrison
Publication date: 14 June 2021
Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)
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