Abstract
For every r-th order Weil functor TA, we introduce the underlying k-th order Weil functors TAk, k = 1, . . . , r - 1. We deduce that TAM → TAr - 1 M is an affine bundle for every manifold M. Generalizing the classical concept of contact element by C. Ehresmann, we define the bundle κTA M of contact elements of type A on M and we describe some affine properties of this bundle.
Original language | English |
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Pages (from-to) | 99-106 |
Number of pages | 8 |
Journal | Nagoya Mathematical Journal |
Volume | 158 |
DOIs | |
Publication status | Published - 2000 Jun |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)