Affine structure on Weil bundles

Ivan Kolář, Hyeonbae Kang, Hyung Woon Koo

Research output: Contribution to journalArticle

13 Citations (Scopus)

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 languageEnglish
Pages (from-to)99-106
Number of pages8
JournalNagoya Mathematical Journal
Volume158
Publication statusPublished - 2000 Jun 1
Externally publishedYes

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Affine Structure
Bundle
Functor
Contact
Deduce

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Affine structure on Weil bundles. / Kolář, Ivan; Kang, Hyeonbae; Koo, Hyung Woon.

In: Nagoya Mathematical Journal, Vol. 158, 01.06.2000, p. 99-106.

Research output: Contribution to journalArticle

Kolář, I, Kang, H & Koo, HW 2000, 'Affine structure on Weil bundles', Nagoya Mathematical Journal, vol. 158, pp. 99-106.
Kolář I, Kang H, Koo HW. Affine structure on Weil bundles. Nagoya Mathematical Journal. 2000 Jun 1;158:99-106.
Kolář, Ivan ; Kang, Hyeonbae ; Koo, Hyung Woon. / Affine structure on Weil bundles. In: Nagoya Mathematical Journal. 2000 ; Vol. 158. pp. 99-106.
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