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Euler--Lagrange Forms and Cohomology Groups on Jet Bundles |
| CHEN Jing-Bo |
| Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029 |
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| Cite this article: |
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CHEN Jing-Bo 2005 Chin. Phys. Lett. 22 1858-1861 |
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Abstract Using the language of jet bundles, we generalize the definitions of Euler--Lagrange one-form and the associated cohomology which were introduced by Guo et al. [Commun. Theor. Phys. 37(2002)1]. Continuous and discrete Lagrange mechanics and field theory are presented. Higher order Euler--Lagrange cohomology groups are also introduced.
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| Keywords:
11.10.Ef
02.70.Bf
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Published: 01 August 2005
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| PACS: |
11.10.Ef
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(Lagrangian and Hamiltonian approach)
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02.70.Bf
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(Finite-difference methods)
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