On Nambu–Poisson Manifolds

DOI10.1142/S0129055X98000161zbMath0929.70015MaRDI QIDQ4221342

Nobutada Nakanishi

Publication date: 27 January 2000

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

zbMATH Keywords

Hamiltonian vector fieldCasimir functionsNambu-Poisson bracketfirst Lichnerowicz-Poisson cohomology groupvolume manifold

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (13)

Classification of (n + 2)-Dimensional Metric n-Lie Algebras ⋮ Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ AKSZ CONSTRUCTION OF TOPOLOGICAL OPEN p-BRANE ACTION AND NAMBU BRACKETS ⋮ Nambu structures on four-dimensional real Lie groups and related superintegrable systems ⋮ Nambu structures and associated bialgebroids ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ Computations of Nambu-Poisson cohomologies: case of Nambu-Poisson tensors of order 3 on \(\mathbb R^4\) ⋮ On higher analogues of Courant algebroids ⋮ Lie 3-algebras with invariant metric ⋮ L∞-algebra models and higher Chern–Simons theories ⋮ Foliations associated with Nambu-Jacobi structures ⋮ The decomposition of metric n-Lie algebras and the uniqueness ⋮ Classification of (n+3)-dimensional metric n-Lie algebras

Cites Work

• On the structure of infinitesimal automorphisms of linear Poisson manifolds. II
• On foundation of the generalized Nambu mechanics
• Some remarks concerning Nambu mechanics
• Aspects of classical and quantum Nambu mechanics

This page was built for publication: On Nambu–Poisson Manifolds