Some linear Jacobi structures on vector bundles
نویسندگان
چکیده
منابع مشابه
Some linear Jacobi structures on vector bundles
We study Jacobi structures on the dual bundle A to a vector bundle A such that the Jacobi bracket of linear functions is again linear and the Jacobi bracket of a linear function and the constant function 1 is a basic function. We prove that a Lie algebroid structure on A and a 1-cocycle φ ∈ Γ(A) induce a Jacobi structure on A satisfying the above conditions. Moreover, we show that this correspo...
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ژورنال
عنوان ژورنال: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
سال: 2000
ISSN: 0764-4442
DOI: 10.1016/s0764-4442(00)00512-7