Generalized Lie bialgebroids and strong Jacobi-Nijenhuis structures.

D. Iglesias-Ponte; J. C. Marrero

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Displaying similar documents to “Generalized Lie bialgebroids and strong Jacobi-Nijenhuis structures.”

Isomorphisms of Poisson and Jacobi brackets

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We present a general theorem describing the isomorphisms of the local Lie algebra structures on the spaces of smooth (real-analytic or holomorphic) functions on smooth (resp. real-analytic, Stein) manifolds, as, for example, those given by Poisson or contact structures. We admit degenerate structures as well, which seems to be new in the literature.

Jacobi actions of $S O (2) \times ℝ^{2}$ and $S U (2, ℂ)$ on two Jacobi manifolds.

Nunes da Costa, J.M. (1995)

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Vector form brackets in Lie algebroids

Albert Nijenhuis (1996)

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A brief exposition of Lie algebroids, followed by a discussion of vector forms and their brackets in this context - and a formula for these brackets in “deformed” Lie algebroids.

The BV-algebra of a Jacobi manifold

Izu Vaisman (2000)

Annales Polonici Mathematici

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We show that the Gerstenhaber algebra of the 1-jet Lie algebroid of a Jacobi manifold has a canonical exact generator, and discuss duality between its homology and the Lie algebroid cohomology. We also give new examples of Lie bialgebroids over Poisson manifolds.