Mathematics – Differential Geometry
Scientific paper
2004-11-03
J.Phys. A38 (2005) 5329-5344
Mathematics
Differential Geometry
20 pages, to be published in J. Phys. A (2005)
Scientific paper
10.1088/0305-4470/38/23/018
We prove Noether's direct and inverse second theorems for Lagrangian systems
on fiber bundles in the case of gauge symmetries depending on derivatives of
dynamic variables of an arbitrary order. The appropriate notions of reducible
gauge symmetries and Noether's identities are formulated, and their equivalence
by means of certain intertwining operator is proved.
Bashkirov Denis
Giachetta Giovanni
Mangiarotti Luigi
Sardanashvily Gennadi
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