Jets of geometric objects
type: Item
instance of: scholarly article
zbMATH Open document ID: 0877.53023
author: Constantin Pătrăşcoiu
publication date: 1997-05-20T00:00:00Z
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 58A20
Mathematics Subject Classification ID: 53A55
zbMATH DE Number: 981826
zbMATH Keywords: lifts of differential operators
zbMATH Keywords: fiber space of jets
zbMATH Keywords: geometric objects
zbMATH Keywords: higher order differential geometry
MaRDI profile type: Publication
title: Jets of geometric objects
published in: Analele Universității din Timișoara. Seria Matematică-Informatică
review text: The language of jets, first introduced by \textit{Ch. Ehresmann} [C. R. Acad. Sci., Paris 233, 598-600, 777-779, 1081-1083 (1951; Zbl 0043.17401)], is widely recognised as the natural frame for the so-called higher order differential geometry. The paper provides the definition of the fiber space of \(k\)-jets of \(N\)-dimensional \(r\)-geometrical objects of type \(\Phi\) on a differentiable manifold. It also gives the lift of a differential operator, from the standpoint used by \textit{B. A. Kupershmidt} [Lect. Notes Math. 775, 162-218 (1980; Zbl 0439.58016)].
reviewed by: Demetra Demetropoulou-Psomopoulou
description: scientific article; zbMATH DE number 981826