On the geometrical structure of Euler-Lagrange equations
type: Item
instance of: scholarly article
title: On the geometrical structure of Euler-Lagrange equations
zbMATH Open document ID: 0815.58002
DOI: 10.1007/BF01760341
author: Paolo Costantini
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1995-01-15T00:00:00Z
review text: It is classical that a section in a fiber bundle with Lagrangian is critical for the associated action if and only if it satisfies the Euler- Lagrange equation. This fact is reproved in the language of jet-spaces without explicit reference to a variational problem. The Poincaré- Cartan form is also discussed in this framework.
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 711504
zbMATH Keywords: Lagrangian
zbMATH Keywords: Euler-Lagrange equation
zbMATH Keywords: jet-spaces
zbMATH Keywords: Poincaré-Cartan form
reviewed by: Christian Bär
MaRDI profile type: Publication
cites work: Q3339808
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cites work: New operators on jet spaces
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description: scientific article; zbMATH DE number 711504