Calculus on Poisson Manifolds

DOI10.1112/blms/20.1.68zbMath0611.58002OpenAlexW2168536495MaRDI QIDQ3750663

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Publication date: 1988

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/20.1.68

zbMATH Keywords

symplectic manifoldsPoisson bracketsPoisson manifoldsLie derivativesde-Rham cohomologycontravarient and covariant tensors on differential manifoldsE. Cartan's calculus

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) de Rham cohomology and algebraic geometry (14F40)

Related Items (12)

Rigidity of infinitesimal momentum maps ⋮ Gel'fand-Dorfman theorem and exact cocycle Poisson structures ⋮ Exact Gerstenhaber algebras and Lie bialgebroids ⋮ The Schouten-Nijenhuis bracket and interior products ⋮ Deformations of associative Rota-Baxter operators ⋮ An introduction to gradient solitons on statistical Poisson manifold and perfect fluid Poisson manifold ⋮ EQUIVARIANT POISSON COHOMOLOGY AND A SPECTRAL SEQUENCE ASSOCIATED WITH A MOMENT MAP ⋮ On the geometric quantization of Jacobi manifolds ⋮ Gravity theory on Poisson manifold with R -flux ⋮ Unnamed Item ⋮ On the simplectization of bi-Hamiltonian structures ⋮ Z-Graded Extensions of Poisson Brackets

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