On some deformations of the Poisson structure associated with the algebroid bracket of differential forms

DOI10.1007/978-3-030-34072-8_2zbMath1446.53065OpenAlexW2989906388MaRDI QIDQ3294699

Grzegorz Jakimowicz, Alina Dobrogowska, Karolina Wojciechowicz

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34072-8_2

zbMATH Keywords

Lie algebraPoisson manifoldLie algebroidlifting of multivectorsdeformation of Poisson structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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Cites Work

• Bi-Hamiltonian structures on the tangent bundle to a Poisson manifold
• Deformation of the Poisson structure related to algebroid bracket of differential forms and application to real low dimentional Lie algebras
• Vertical and horizontal lifts of multivector fields and applications
• On bi-Integrable Natural Hamiltonian Systems on Riemannian Manifolds
• Invariants of real low dimension Lie algebras
• Tangent lifts of Poisson and related structures
• Theory of separability of multi-Hamiltonian chains
• Tangent lifts of bi-Hamiltonian structures
• Classification and Identification of Lie Algebras

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