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On quadratic Poisson structures

✍ Scribed by Zhang-Ju Liu; Ping Xu


Publisher
Springer
Year
1992
Tongue
English
Weight
456 KB
Volume
26
Category
Article
ISSN
0377-9017

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Poisson structures on tangent bundles
✍ Gabriel Mitric; Izu Vaisman πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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