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Transitive symplectic manifolds in \(1+2\) dimensions. (English) Zbl 0862.58021

Summary: A complete list of all transitive symplectic manifolds of the Poincaré and Galilei group in \(1+2\) dimensions is given.

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
22E70 Applications of Lie groups to the sciences; explicit representations

References:

[1] DOI: 10.1063/1.529994 · Zbl 0790.22012 · doi:10.1063/1.529994
[2] DOI: 10.1063/1.528527 · Zbl 0699.53044 · doi:10.1063/1.528527
[3] DOI: 10.1063/1.529939 · Zbl 0788.22025 · doi:10.1063/1.529939
[4] DOI: 10.1016/0550-3213(90)90288-O · doi:10.1016/0550-3213(90)90288-O
[5] DOI: 10.1088/0305-4470/23/15/024 · Zbl 0708.70019 · doi:10.1088/0305-4470/23/15/024
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