Attributes | Values |
---|
rdf:type
| |
Description
| - The aim of this paper is to discuss some aspects of local and global properties of the Euler-Lagrange and Helmholtz-Sonin mappings of the calculus of variations in the r-th order field theory, i.e. on r-jet prolongations of fibered manifolds over a n-dimensional base with n>1, within the framework of the variational sequence, i.e. the quotient of the De Rham sequence with respect to its subsequence of contact differential forms. Such a discussion is, in general, based on the concept of sheaves of differential forms. In the paper a globally defined representation of the variational sequence by forms is constructed which is closely related to the standard concepts in the calculus of variations. There is a close relationship between elements of the quotient sheaves (classes of forms) and the quotient mappings on one hand and the standard objects of the calculus of variations, as lagrangians, Euler-Lagrange and Helmholtz-Sonin forms, and Euler-Lagrange and Helmholtz-Sonin mappings on the other hand.
- The aim of this paper is to discuss some aspects of local and global properties of the Euler-Lagrange and Helmholtz-Sonin mappings of the calculus of variations in the r-th order field theory, i.e. on r-jet prolongations of fibered manifolds over a n-dimensional base with n>1, within the framework of the variational sequence, i.e. the quotient of the De Rham sequence with respect to its subsequence of contact differential forms. Such a discussion is, in general, based on the concept of sheaves of differential forms. In the paper a globally defined representation of the variational sequence by forms is constructed which is closely related to the standard concepts in the calculus of variations. There is a close relationship between elements of the quotient sheaves (classes of forms) and the quotient mappings on one hand and the standard objects of the calculus of variations, as lagrangians, Euler-Lagrange and Helmholtz-Sonin forms, and Euler-Lagrange and Helmholtz-Sonin mappings on the other hand. (en)
|
Title
| - The variational sequence: Local and global properties
- The variational sequence: Local and global properties (en)
|
skos:prefLabel
| - The variational sequence: Local and global properties
- The variational sequence: Local and global properties (en)
|
skos:notation
| - RIV/47813059:19610/00:00000047!RIV/2001/MSM/196101/N
|
http://linked.open.../vavai/riv/strany
| |
http://linked.open...avai/riv/aktivita
| |
http://linked.open...avai/riv/aktivity
| |
http://linked.open...vai/riv/dodaniDat
| |
http://linked.open...aciTvurceVysledku
| |
http://linked.open.../riv/druhVysledku
| |
http://linked.open...iv/duvernostUdaju
| |
http://linked.open...titaPredkladatele
| |
http://linked.open...dnocenehoVysledku
| |
http://linked.open...ai/riv/idVysledku
| - RIV/47813059:19610/00:00000047
|
http://linked.open...riv/jazykVysledku
| |
http://linked.open.../riv/klicovaSlova
| - Fibered manifold, r-jet prolongation, contact form, De Rham sequence, variational sequence, Euler-La (en)
|
http://linked.open.../riv/klicoveSlovo
| |
http://linked.open...ontrolniKodProRIV
| |
http://linked.open...i/riv/mistoVydani
| |
http://linked.open...i/riv/nazevZdroje
| - Proceedings of the Seminar on Differential Geometry
|
http://linked.open...in/vavai/riv/obor
| |
http://linked.open...ichTvurcuVysledku
| |
http://linked.open...cetTvurcuVysledku
| |
http://linked.open...UplatneniVysledku
| |
http://linked.open...iv/tvurceVysledku
| - Kašparová, Jana
- Musilová, Jana
- Krbek, Michael
|
http://linked.open...n/vavai/riv/zamer
| |
number of pages
| |
http://purl.org/ne...btex#hasPublisher
| - Slezská univerzita v Opavě
|
https://schema.org/isbn
| |
http://localhost/t...ganizacniJednotka
| |