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 |
Keywords:
transitive symplectic manifoldsReferences:
[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 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.