# Lepage forms theory applied

Michal Lenc; Jana Musilová; Lenka Czudková

Archivum Mathematicum (2009)

- Volume: 045, Issue: 4, page 279-287
- ISSN: 0044-8753

## Access Full Article

top## Abstract

top## How to cite

topLenc, Michal, Musilová, Jana, and Czudková, Lenka. "Lepage forms theory applied." Archivum Mathematicum 045.4 (2009): 279-287. <http://eudml.org/doc/250692>.

@article{Lenc2009,

abstract = {In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.},

author = {Lenc, Michal, Musilová, Jana, Czudková, Lenka},

journal = {Archivum Mathematicum},

keywords = {fibred manifold; Lagrangian; Lepage form; conservation laws; relativistic mechanics; fibred manifold; Lagrangian; Lepage form; conservation law; relativistic mechanics},

language = {eng},

number = {4},

pages = {279-287},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Lepage forms theory applied},

url = {http://eudml.org/doc/250692},

volume = {045},

year = {2009},

}

TY - JOUR

AU - Lenc, Michal

AU - Musilová, Jana

AU - Czudková, Lenka

TI - Lepage forms theory applied

JO - Archivum Mathematicum

PY - 2009

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 045

IS - 4

SP - 279

EP - 287

AB - In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.

LA - eng

KW - fibred manifold; Lagrangian; Lepage form; conservation laws; relativistic mechanics; fibred manifold; Lagrangian; Lepage form; conservation law; relativistic mechanics

UR - http://eudml.org/doc/250692

ER -

## References

top- Krupka, D., Global variational theory in fibred spaces, Handbook of global analysis (Krupka, D., Saunders, D., eds.), Elsevier, 2007, pp. 773–836. (2007) MR2389646
- Krupková, O., 10.1063/1.532196, J. Math. Phys. 38 (1997), 5098–5126. (1997) MR1471916DOI10.1063/1.532196
- Krupková, O., The Geometry of Ordinary Variational Equations, Lecture Notes in Math., vol. 1678, Springer, Berlin, 1997. (1997) MR1484970
- Krupková, O., Musilová, J., 10.1088/0305-4470/34/18/313, J. Phys. A: Math. Gen. 34 (2001), 3859–3875. (2001) MR1840850DOI10.1088/0305-4470/34/18/313
- Musilová, J., Lenc, M., Lepage forms in variational theories: From Lepage’s idea to the variational sequence, Variations, Geometry and Physics (2008), 1–31, O. Krupková and D. Saunders (Editors). Nova Science Publishers. (2008) MR2523430
- Weinberg, S., Cosmology, Oxford University Press, 2008. (2008) Zbl1147.83002MR2410479

## NotesEmbed ?

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