On characterization of Poisson and Jacobi structures

• Autorzy: Janusz Grabowski , Paweŀ Urbański
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Jacobi structures; Poisson structures; Lie algebroids; tangent lifts; 17B62 17B66 53D10 53D17

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 1
• Strony: 123-140

Daty

wydano

2003-03-01

online

2003-03-01

Twórcy

autor

Janusz Grabowski

• Polish Academy of Sciences

autor

Paweŀ Urbański

• University of Warsaw

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475669