Poisson structures on tangent bundles.

DOI10.1016/S0926-2245(02)00148-1zbMath1039.53091arXivmath/0108130OpenAlexW2513591707WikidataQ115338095 ScholiaQ115338095MaRDI QIDQ1405258

Izu Vaisman, Gabriel Mitric

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108130

zbMATH Keywords

Poisson structuretangent bundlecomplete liftfoliated functionsgraded bivector field

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items

Vertical and horizontal lifts of multivector fields and applications ⋮ Unnamed Item ⋮ Poisson and Hamiltonian structures on complex analytic foliated manifolds ⋮ Lifts of Poisson structures to Weil bundle ⋮ Polarized Poisson structures

Cites Work

• Lectures on the geometry of Poisson manifolds
• The modular automorphism group of a Poisson manifold
• Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
• Second order Hamiltonian vector fields on tangent bundles
• On the Geometry of the Tangent Bundle.
• Dirac Manifolds
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