Parallelism of Weil bundles (Q2929810)

Let \(A\) be a Weil algebra. It is well known that the functor \(T_A\) -- from the category of smooth manifolds to the category of fiber bundles -- exists, and bundles of the form \(T_A M\) are called Weil bundles (see \textit{I. Kolář} et al. [Natural operations in differential geometry. Berlin: Springer-Verlag (1993; Zbl 0782.53013)]). In the paper under review it is shown that \(T_A M\) (denoted here by \(M^A\)) is parallelizable provided \(M\) is. This result is applicaple e.g. to jet bundles.