The natural functions on the cotangent bundle of higher order vector tangent bundles over fibered manifolds
type: Item
instance of: scholarly article
title: The natural functions on the cotangent bundle of higher order vector tangent bundles over fibered manifolds
zbMATH Open document ID: 1116.58003
DOI: 10.2478/BF02475978
author: Jan Kurek
author: Włodzimierz M. Mikulski
published in: Central European Journal of Mathematics
publication date: 2007-02-15T00:00:00Z
review text: An earlier result from [\textit{W. M. Mikulski}, Arch. Math. Brno 31, No. 1, 1--7 (1995; Zbl 0837.53021)] is extended from manifolds to fibered manifolds. Namely, the authors determine all natural functions \(g:T^*(J^{(r,s, q)}(Y,\mathbf{R}^{1,1})_0)^*\to \text\textbf{R}\), for arbitrary fibered manifolds \(Y\) with \(m\)-dimensional base and \(n\)-dimensional fiber, for natural numbers \(r,s,q,m,n\) such that \(s\geq r\leq q\). Further, for natural numbers \(r,s,m,n\) with \(s\geq r\), all natural functions \(g:T^*(J^{(r,s)}(Y,\mathbf{R})_0)^*\to\text\textbf{R}\), are determined as well.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 58A20
Mathematics Subject Classification ID: 53A55
zbMATH DE Number: 5127114
zbMATH Keywords: bundle functor
zbMATH Keywords: natural function
MaRDI profile type: Publication
cites work: Torsions of Connections on Higher Order Cotangent Bundles
cites work: Q4854306
cites work: Q4693714
cites work: Contact Elements on Fibered Manifolds
cites work: Torsions of connections on some natural bundles
cites work: Q4848299
cites work: Q3024346
cites work: On the order of natural differential operators and liftings
full work available at URL: https://doi.org/10.2478/bf02475978
OpenAlex ID: W2075368665
description: scientific article; zbMATH DE number 5127114