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Title: Natural operators lifting vector fields to bundles of Weil contact elements (English)
Author: Kureš, Miroslav
Author: Mikulski, Włodzimierz M.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 54
Issue: 4
Year: 2004
Pages: 855-867
Summary lang: English
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Category: math
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Summary: Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed. (English)
Keyword: Weil algebra
Keyword: Weil bundle
Keyword: contact element
Keyword: natural operator
MSC: 12D05
MSC: 53A55
MSC: 58A20
MSC: 58A32
idZBL: Zbl 1080.58005
idMR: MR2099999
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Date available: 2009-09-24T11:18:17Z
Last updated: 2016-04-07
Stable URL: http://hdl.handle.net/10338.dmlcz/127935
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