Singular reduction of Nambu–Poisson manifolds

DOI10.1142/S0219887817501286zbMath1428.53088OpenAlexW2608191121MaRDI QIDQ5359040

Apurba Das

Publication date: 22 September 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817501286

zbMATH Keywords

symmetrystratificationreductionNambu-Poisson manifolds

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Poisson algebras (17B63)

Related Items (3)

Multiplicative Nambu structures on Lie groupoids ⋮ Reduction of Nambu-Poisson manifolds by regular distributions ⋮ Nambu structures and associated bialgebroids

Cites Work

• An extension of the Marsden-Ratiu reduction for Poisson manifolds
• Reduction of Poisson manifolds
• Singular reduction of Poisson manifolds
• Reduction of generalized Poisson and Nambu-Poisson manifolds
• On foundation of the generalized Nambu mechanics
• Momentum maps and Hamiltonian reduction
• Poisson structures and their normal forms
• Introduction to Topological Manifolds
• Generalized Hamiltonian Dynamics
• Leibniz algebroid associated with a Nambu-Poisson structure

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