On the invariant variational sequences in mechanics

Šeděnková, Jana

  • Proceedings of the 22nd Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [185]-190

Abstract

top
Summary: The r -th order variational sequence is the quotient sequence of the De Rham sequence on the r th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite) variational bicomplexes.

How to cite

top

Šeděnková, Jana. "On the invariant variational sequences in mechanics." Proceedings of the 22nd Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2003. [185]-190. <http://eudml.org/doc/221459>.

@inProceedings{Šeděnková2003,
abstract = {Summary: The $r$-th order variational sequence is the quotient sequence of the De Rham sequence on the $r$th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite) variational bicomplexes.},
author = {Šeděnková, Jana},
booktitle = {Proceedings of the 22nd Winter School "Geometry and Physics"},
keywords = {Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {[185]-190},
publisher = {Circolo Matematico di Palermo},
title = {On the invariant variational sequences in mechanics},
url = {http://eudml.org/doc/221459},
year = {2003},
}

TY - CLSWK
AU - Šeděnková, Jana
TI - On the invariant variational sequences in mechanics
T2 - Proceedings of the 22nd Winter School "Geometry and Physics"
PY - 2003
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [185]
EP - 190
AB - Summary: The $r$-th order variational sequence is the quotient sequence of the De Rham sequence on the $r$th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite) variational bicomplexes.
KW - Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221459
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.