The lifts of Lagrange and Hamilton equations to the extended vector bundles
type: Item
instance of: scholarly article
title: The lifts of Lagrange and Hamilton equations to the extended vector bundles
zbMATH Open document ID: 0928.37011
author: Sevket Civelek
published in: Mathematical \& Computational Applications
publication date: 1999-03-23T00:00:00Z
review text: The problem of higher order Lagrangian equations and related Hamiltonian formalism is well known. The author discusses lifting Hamiltonian vector fields and Lagrangian equations to an extended vector bundle, an object which is not defined in the paper, seemingly, it is the iterated vector bundle for a given linear bundle. Unfortunately, the paper is not self-consistent and the terminology used is not common but based on the author's thesis which is not widely known. It makes reading rather hard.
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 37J05
zbMATH DE Number: 1239797
zbMATH Keywords: Lagrangian equations
zbMATH Keywords: Hamilton equations
zbMATH Keywords: lift
zbMATH Keywords: extended vector bundle metrics
zbMATH Keywords: Hamiltonian vector fields
zbMATH Keywords: linear bundle
reviewed by: L. M. Lerman
MaRDI profile type: Publication
full work available at URL: mca1010021
OpenAlex ID: W2415881766
DOI: 10.3390/MCA1010021
description: scientific article; zbMATH DE number 1239797