Poisson structures on tangent bundles
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Gabriel Mitric; Izu Vaisman
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Article
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2003
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Elsevier Science
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English
β 188 KB
The paper starts with an interpretation of the complete lift of a Poisson structure from a manifold M to its tangent bundle T M by means of the Schouten-Nijenhuis bracket of covariant symmetric tensor fields defined by the cotangent Lie algebroid of M. Then, we discuss Poisson structures of T M whic