Professor Ladislav Skula is eighty

30 June 1937 is the birthday of Professor Ladislav Skula, our colleague at the Institute of Mathematics of the BUT Faculty of Mechanical Engineering, a distinguished editorial board member of this journal, and an outstanding Brno mathematician of world renown

Natural operators lifting vector fields to bundles of Weil contact elements

summary:Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed