On characterization of Poisson and Jacobi structures
| Autor: | Pawel Urbanski, Janusz Grabowski |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: |
Mathematics - Differential Geometry
lie algebroids Pure mathematics General Mathematics Vector bundle FOS: Physical sciences 17B66 Characterization (mathematics) Poisson distribution symbols.namesake Morphism 53D17 tangent lifts 17B62 FOS: Mathematics QA1-939 17b62 17b66 53d10 53d17 Algebra over a field Mathematics::Symplectic Geometry Mathematical Physics Mathematics jacobi structures poisson structures Mathematical analysis Mathematical Physics (math-ph) 53D10 Number theory Differential Geometry (math.DG) symbols |
| Zdroj: | Open Mathematics, Vol 1, Iss 1, Pp 123-140 (2003) |
| ISSN: | 2391-5455 |
| Popis: | We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of corresponding vector bundles. Similar results hold for generalized Poisson and Jacobi structures (canonical structures) associated with Lie algebroids and Jacobi algebroids. LaTeX, 14 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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