Reconstruction phases via Poisson reduction

DOI10.1016/S0926-2245(00)00014-0zbMath0973.70017WikidataQ115338421 ScholiaQ115338421MaRDI QIDQ1573619

Anthony D. Blaom

Publication date: 7 August 2000

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

curvaturedecomposition theoremgeometric phasedynamic phaseHamiltonian vector fields with symmetryleaf symplectic structuresMarsden-Weinstein reduction bundlesPoisson-reduced HamiltonianPoisson-reduced solution curveresonant three-wave interactionstransverse derivatives

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) 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)

Related Items (2)

Reconstruction phases in the planar three- and four-vortex problems ⋮ Geometric phases for corotating elliptical vortex patches

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