Compatible Jacobi manifolds: geometry and reduction

DOI10.1088/0305-4470/31/3/013zbMath0963.53047OpenAlexW2099965180MaRDI QIDQ4703690

Joana M. Nunes da Costa

Publication date: 30 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/3/013

zbMATH Keywords

bi-Hamiltonian manifoldsPoisson tensorsJacobi structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (7)

Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle ⋮ Poisson-Nijenhuis groupoids ⋮ Jacobi structures of evolutionary partial differential equations ⋮ A generalization of Poisson-Nijenhuis structures ⋮ Reduction of Jacobi manifolds via Dirac structures theory ⋮ Reduction of Jacobi-Nijenhuis manifolds ⋮ Local structure of Jacobi--Nijenhuis manifolds

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