Reduction of generalized Poisson and Nambu-Poisson manifolds

DOI10.1016/S0034-4877(98)80005-0zbMath0931.37024OpenAlexW2086458961MaRDI QIDQ1289583

Juan Carlos Marrero, David Martín de Diego, Raúl Ibáñez, Manuel de León

Publication date: 27 February 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(98)80005-0

zbMATH Keywords

Marsden-Ratiu reductionPoisson manifoldsconstrained Hamiltonian systemsgeneralized Poisson manifoldsNambu-Poisson manifolds

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

Multiplicative Nambu structures on Lie groupoids ⋮ Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier ⋮ Reduction of Nambu-Poisson manifolds by regular distributions ⋮ Nambu structures on four-dimensional real Lie groups and related superintegrable systems ⋮ Singular reduction of Nambu–Poisson manifolds

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