On the Weilian prolongations of natural bundles
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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.
KeywordsWeil algebra Weil functor natural bundle gauge natural bundle
MSC 201058A20 58A32
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- I. Kolář: Weil Bundles as Generalized Jet Spaces. Handbook of Global Analysis, Elsevier, Amsterdam, 2008, pp. 625–664.Google Scholar
- A. Nijenhuis: Natural bundles and their general properties. Geometric objects revisited. Diff. Geometry, in Honor of Kentaro Yano (1972), 317–334.Google Scholar