Janusz Grabowski, Katarzyna Grabowska, Pawel Urbanski


LIE BRACKETS ON AFFINE BUNDLES

Natural analogs of Lie brackets on affine bundles are studied. In particular, a close
relation to Lie algebroids and duality with certain affine analog of Poisson structures
is established as well as affine versions of the complete lift and the Cartan exterior
calculus.