Green formula and Legendre transformation
type: Item
instance of: scholarly article
title: Green formula and Legendre transformation
zbMATH Open document ID: 1065.58009
DOI: 10.1023/B:ACAP.0000035594.33327.71
author: Ricardo J. Alonso-Blanco
author: A. M. Vinogradov
published in: Acta Applicandae Mathematicae
publication date: 2005-01-17T00:00:00Z
review text: In this paper it is given a suitable geometrical interpretation of the cohomological Green formula in the framework of ordinary Lagrangians of arbitrary order. The particular case of higher-order mechanics is considered in detail. Finally, the Hamilton canonical equations are derived from this point of view.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 70H50
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70S05
Mathematics Subject Classification ID: 58A20
Mathematics Subject Classification ID: 58J99
zbMATH DE Number: 2128502
zbMATH Keywords: Green formula
zbMATH Keywords: Legendre transformation
zbMATH Keywords: Cartan distribution
zbMATH Keywords: differential operator
zbMATH Keywords: variational problem
zbMATH Keywords: Hamilton formalism
MaRDI profile type: Publication
full work available at URL: b:acap.0000035594.33327.71
OpenAlex ID: W2066325715
description: scientific article; zbMATH DE number 2128502