TY - JOUR
T1 - Affine structure on Weil bundles
AU - Kolář, Ivan
AU - Kang, Hyeonbae
AU - Koo, Hyungwoon
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2000/6
Y1 - 2000/6
N2 - 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.
AB - 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.
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U2 - 10.1017/S0027763000007339
DO - 10.1017/S0027763000007339
M3 - Article
AN - SCOPUS:0007068428
VL - 158
SP - 99
EP - 106
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
SN - 0027-7630
ER -