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Keywords:
Weil algebra; Weil functor; natural bundle; gauge natural bundle
Weil algebra; Weil functor; natural bundle; gauge natural bundle
Summary:
We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration $F(EM)$ of two natural bundles $E$ and $F$. Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem.
References:
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[4] Nijenhuis, A.: Natural bundles and their general properties. Geometric objects revisited. Diff. Geometry, in Honor of Kentaro Yano (1972), 317-334. MR 0380862 | Zbl 0246.53018
[5] Weil, A.: Théorie des points proches sur les variétés différentiables. Colloques internat. Centre nat. Rech. Sci. 52 (1953), 111-117 French. MR 0061455 | Zbl 0053.24903
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