Reduction of Local Lie Algebra Structures

DOI10.2307/2046920zbMath0668.53017OpenAlexW4232746400MaRDI QIDQ3821222

Kentaro Mikami

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046920

zbMATH Keywords

contact structuresymplectic structureJacobi manifoldmomentum maplocal Lie algebraMarsden Weinstein reduction

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (5)

Reduction of constrained mechanical systems and stability of relative equilibria ⋮ Reductions: precontact versus presymplectic ⋮ A linear algebraic setting for Jacobi structures ⋮ Reduction of Jacobi manifolds via Dirac structures theory ⋮ Reduction of Jacobi-Nijenhuis manifolds

Cites Work

• The local structure of Poisson manifolds
• Local Lie algebra structure and momentum mapping
• Reduction of Poisson manifolds
• Reduction of symplectic manifolds with symmetry

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