Affine structure on Weil bundles
| Autoři | |
|---|---|
| Rok publikování | 2000 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Nagoya Mathematical Journal |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Weil bundle; affine bundle |
| Popis | 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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