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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10.1017/S0027763000007339

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title = "Affine structure on Weil bundles",

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",

month = jun,

doi = "10.1017/S0027763000007339",

language = "English",

volume = "158",

pages = "99--106",

journal = "Nagoya Mathematical Journal",

issn = "0027-7630",

publisher = "Nagoya University",

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T1 - Affine structure on Weil bundles

AU - Kolář, Ivan

AU - Kang, Hyeonbae

AU - Koo, Hyungwoon

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 -

Affine structure on Weil bundles

Abstract

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