Mathematics – Differential Geometry
Scientific paper
2005-06-06
Int.J.Geom.Methods Mod.Phys., v.2 (2005) 873-886
Mathematics
Differential Geometry
14 pages
Scientific paper
Given a generic Lagrangian system, its Euler-Lagrange operator obeys Noether identities which need not be independent, but satisfy first-stage Noether identities, and so on. This construction is generalized to arbitrary differential operators on a smooth fiber bundle. Namely, if a certain necessary and sufficient condition holds, one can associate to a differential operator the exact chain complex with the boundary operator whose nilpotency condition restarts all the Noether identities characterizing the degeneracy of an original differential operator.
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