| Title:
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Global generalized Bianchi identities for invariant variational problems on gauge-natural bundles (English) |
| Author:
|
Palese, Marcella |
| Author:
|
Winterroth, Ekkehart |
| Language:
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English |
| Journal:
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Archivum Mathematicum |
| ISSN:
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0044-8753 (print) |
| ISSN:
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1212-5059 (online) |
| Volume:
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41 |
| Issue:
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3 |
| Year:
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2005 |
| Pages:
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289-310 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
jets |
| Keyword:
|
gauge-natural bundles |
| Keyword:
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variational principles |
| Keyword:
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generalized Bianchi identities |
| Keyword:
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Jacobi morphisms |
| Keyword:
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invariance and symmetry properties |
| MSC:
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58A20 |
| MSC:
|
58A32 |
| MSC:
|
58E30 |
| MSC:
|
58J70 |
| idZBL:
|
Zbl 1112.58005 |
| idMR:
|
MR2188385 |
| . |
| Date available:
|
2008-06-06T22:46:19Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107960 |
| . |
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