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@article{353191, author = {Kolář, Ivan}, article_location = {Japonsko}, article_number = {158}, keywords = {Weil bundle; affine bundle}, language = {eng}, issn = {0027-7630}, journal = {Nagoya Mathematical Journal}, title = {Affine structure on Weil bundles}, volume = {1999}, year = {2000} }
TY - JOUR ID - 353191 AU - Kolář, Ivan PY - 2000 TI - Affine structure on Weil bundles JF - Nagoya Mathematical Journal VL - 1999 IS - 158 SP - 99-106 EP - 99-106 SN - 00277630 KW - Weil bundle KW - affine bundle N2 - 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. ER -
KOLÁŘ, Ivan. Affine structure on Weil bundles. \textit{Nagoya Mathematical Journal}. Japonsko, 2000, vol.~1999, No~158, p.~99-106, 7 pp. ISSN~0027-7630.
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