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Title: Contact elements on fibered manifolds (English)
Author: Kolář, Ivan
Author: Mikulski, Włodzimierz M.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 53
Issue: 4
Year: 2003
Pages: 1017-1030
Summary lang: English
Category: math
Summary: For every product preserving bundle functor $T^\mu $ on fibered manifolds, we describe the underlying functor of any order $(r,s,q), s\ge r\le q$. We define the bundle $K_{k,l}^{r,s,q} Y$ of $(k,l)$-dimensional contact elements of the order $(r,s,q)$ on a fibered manifold $Y$ and we characterize its elements geometrically. Then we study the bundle of general contact elements of type $\mu $. We also determine all natural transformations of $K_{k,l}^{r,s,q} Y$ into itself and of $T(K_{k,l}^{r,s,q} Y)$ into itself and we find all natural operators lifting projectable vector fields and horizontal one-forms from $Y$ to $K_{k,l}^{r,s,q} Y$. (English)
Keyword: jet of fibered manifold morphism
Keyword: contact element
Keyword: Weil bundle
Keyword: natural operator
MSC: 53A55
MSC: 58A20
idZBL: Zbl 1080.58002
idMR: MR2018847
Date available: 2009-09-24T11:08:49Z
Last updated: 2020-07-03
Stable URL:
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