Abstract
Natural affine analogs of Lie brackets on affine bundles are studied.In particular, a close relation to Lie algebroids and a duality withcertain affine analog of Poisson structure is established as well asaffine versions of complete lifts and Cartan exterior calculi.
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Grabowska, K., Grabowski, J. & Urbański, P. Lie Brackets on Affine Bundles. Annals of Global Analysis and Geometry 24, 101–130 (2003). https://doi.org/10.1023/A:1024457728027
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DOI: https://doi.org/10.1023/A:1024457728027