Global generalized Bianchi identities for invariant variational problems on gauge-natural bundles
Palese, Marcella ; Winterroth, Ekkehart
Archivum Mathematicum, Tome 041 (2005), p. 289-310 / Harvested from Czech Digital Mathematics Library
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We derive both local and global generalized Bianchi identities for classical Lagrangian field theories on gauge-natural bundles. We show that globally defined generalized Bianchi identities can be found without the a priori introduction of a connection. The proof is based on a global decomposition of the variational Lie derivative of the generalized Euler-Lagrange morphism and the representation of the corresponding generalized Jacobi morphism on gauge-natural bundles. In particular, we show that within a gauge-natural invariant Lagrangian variational principle, the gauge-natural lift of infinitesimal principal automorphism is not intrinsically arbitrary. As a consequence the existence of canonical global superpotentials for gauge-natural Noether conserved currents is proved without resorting to additional structures.

Publié le : 2005-01-01
Classification:  58A20,  58A32,  58E30,  58J70 
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     author = {Marcella Palese and Ekkehart Winterroth},
     title = {Global generalized Bianchi identities for invariant variational problems on gauge-natural bundles},
     journal = {Archivum Mathematicum},
     volume = {041},
     year = {2005},
     pages = {289-310},
     zbl = {1112.58005},
     mrnumber = {2188385},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107960}
}

Palese, Marcella; Winterroth, Ekkehart. Global generalized Bianchi identities for invariant variational problems on gauge-natural bundles. Archivum Mathematicum, Tome 041 (2005) pp. 289-310. http://gdmltest.u-ga.fr/item/107960/

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