Affine structure on Weil bundles
| Authors | |
|---|---|
| Year of publication | 2000 |
| Type | Article in Periodical |
| Magazine / Source | Nagoya Mathematical Journal |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Weil bundle; affine bundle |
| Description | Abstract. For every r-th order Weil functor T(A), we introduce the underliyng k-th order Weil functors T(Ak), k=1,...,r-1. We deduce that T(A)M -> T(Ar-1)M is an affine bundle for every manifold M. Generalizing the classical concept of contakt element by C. Ehresmann, we define the bundle of contact elements of type A on M and we describe some affine properties of this bundle. |
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