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Title: Lepage forms theory applied (English)
Author: Lenc, Michal
Author: Musilová, Jana
Author: Czudková, Lenka
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 45
Issue: 4
Year: 2009
Pages: 279-287
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: fibred manifold
Keyword: Lagrangian
Keyword: Lepage form
Keyword: conservation laws
Keyword: relativistic mechanics
MSC: 49Q20
MSC: 49S05
MSC: 53Z05
MSC: 70H33
idZBL: Zbl 1212.49060
idMR: MR2591682
Date available: 2009-12-22T07:53:09Z
Last updated: 2013-09-19
Stable URL:
Reference: [1] Krupka, D.: Global variational theory in fibred spaces. Handbook of global analysis (Krupka, D., Saunders, D., eds.), Elsevier, 2007, pp. 773–836. MR 2389646
Reference: [2] Krupková, O.: Mechanical systems with non-holonomic constraints.J. Math. Phys. 38 (1997), 5098–5126. MR 1471916, 10.1063/1.532196
Reference: [3] Krupková, O.: The Geometry of Ordinary Variational Equations.Lecture Notes in Math., vol. 1678, Springer, Berlin, 1997. MR 1484970
Reference: [4] Krupková, O., Musilová, J.: The relativistic particle as a mechanical system with non-holonomic constraints.J. Phys. A: Math. Gen. 34 (2001), 3859–3875. MR 1840850, 10.1088/0305-4470/34/18/313
Reference: [5] 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. MR 2523430
Reference: [6] Weinberg, S.: Cosmology.Oxford University Press, 2008. Zbl 1147.83002, MR 2410479


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