\(R^{2n}\) is a universal symplectic manifold for reduction

DOI10.1007/BF00397057zbMath0691.53019MaRDI QIDQ582593

Gijs M. Tuynman, Mark J. Gotay

Publication date: 1989

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

reductionsymplectic manifoldsmoment mapfinite typeHamiltonian actionMarsden- Weinstein reduction

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (6)

A universal model for cosymplectic manifolds ⋮ Arnold's conjecture and symplectic reduction ⋮ Characteristic classes of star products on Marsden-Weinstein reduced symplectic manifolds ⋮ Universal models via embedding and reduction for locally conformal symplectic structures ⋮ Symmetry and gauge freedom ⋮ A SURVEY ON COSYMPLECTIC GEOMETRY

Cites Work

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• Equivariant embeddings in euclidean space
• Reduction of symplectic manifolds with symmetry
• Lusternik-Schnirelman theory on Banach manifolds
• Reduction, symmetry, and phases in mechanics

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