Affine structure on Weil bundles

Ivan Kolář; Hyeonbae Kang; Hyungwoon Koo

doi:10.1017/S0027763000007339

Affine structure on Weil bundles

Ivan Kolář, Hyeonbae Kang, Hyungwoon Koo

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

For every r-th order Weil functor T^A, we introduce the underlying k-th order Weil functors T^Ak, k = 1, . . . , r - 1. We deduce that T^AM → T^{Ar - 1} M is an affine bundle for every manifold M. Generalizing the classical concept of contact element by C. Ehresmann, we define the bundle κT^A M of contact elements of type A on M and we describe some affine properties of this bundle.

Original language	English
Pages (from-to)	99-106
Number of pages	8
Journal	Nagoya Mathematical Journal
Volume	158
DOIs	https://doi.org/10.1017/S0027763000007339
Publication status	Published - 2000 Jun
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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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.",

author = "Ivan Kol{\'a}{\v r} and Hyeonbae Kang and Hyungwoon Koo",

year = "2000",

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AU - Kolář, Ivan

AU - Kang, Hyeonbae

AU - Koo, Hyungwoon

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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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Affine structure on Weil bundles

Abstract

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