Affine structure on Weil bundles

Ivan Kolář, Hyeonbae Kang, Hyungwoon Koo

Research output: Contribution to journalArticle

14 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
DOIs
Publication statusPublished - 2000 Jun

ASJC Scopus subject areas

  • Mathematics(all)

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