Affine Jacobi structures on vector and affine bundles

Abstract

We study affine Jacobi structures on an affine bundle π : A→M . We prove that there is a one-toone correspondence between affine Jacobi structures on A and Lie algebroid structures on the vector bundle A = ⋃ p∈M Aff(Ap,R) of affine functionals. Some examples and applications, also for the linear case, are discussed. For a special type of affine Jacobi… (More)

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Cite this paper

@inproceedings{Grabowski2002AffineJS, title={Affine Jacobi structures on vector and affine bundles}, author={Janusz Grabowski and David Iglesias and Juan C. Marrero and Edith Padr{\'o}n and P. Urbański}, year={2002} }