| Title:
|
On the Lagrange-Souriau form in classical field theory (English) |
| Author:
|
Grigore, D. R. |
| Author:
|
Popp, O. T. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
123 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
73-86 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Euler-Lagrange equations are given in a geometrized framework using a differential form related to the Poincare-Cartan form. This new differential form is intrinsically characterized; the present approach does not suppose a distinction between the field and the space-time variables (i.e. a fibration). In connection with this problem we give another proof describing the most general Lagrangian leading to identically vanishing Euler-Lagrange equations. This gives the possibility to have a geometric point of view of the usual Noetherian symmetries for classical field theories and strongly supports the usefulness of the above mentioned differential form. (English) |
| Keyword:
|
Lagrangian formalism |
| Keyword:
|
classical field theory |
| Keyword:
|
Noetherian symmetries |
| MSC:
|
37J15 |
| MSC:
|
37J99 |
| MSC:
|
58F05 |
| MSC:
|
70H03 |
| MSC:
|
70H35 |
| MSC:
|
70S05 |
| MSC:
|
70S10 |
| idZBL:
|
Zbl 0901.58016 |
| idMR:
|
MR1618723 |
| DOI:
|
10.21136/MB.1998.126290 |
| . |
| Date available:
|
2009-09-24T21:29:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126290 |
| . |
| Reference:
|
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