Chin. Phys. Lett.  2005, Vol. 22 Issue (8): 1858-1861    DOI:
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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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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.
Keywords: 11.10.Ef      02.70.Bf     
Published: 01 August 2005
PACS:  11.10.Ef (Lagrangian and Hamiltonian approach)  
  02.70.Bf (Finite-difference methods)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2005/V22/I8/01858
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