| Title:
|
A map associated to the Lepagian forms on the calculus of variations in fibred manifolds (English) |
| Author:
|
Krupka, Demeter |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
114-117,118 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
49F05 |
| MSC:
|
58E99 |
| idZBL:
|
Zbl 0373.58004 |
| idMR:
|
MR0431272 |
| DOI:
|
10.21136/CMJ.1977.101449 |
| . |
| Date available:
|
2008-06-09T14:22:01Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101449 |
| . |
| Reference:
|
[1] E. Cartan: Lecons sur les invariants intégraux.Hermann, Paris, 1922. MR 0355764 |
| Reference:
|
[2] H. Goldschmidt S. Sternberg: The Hamilton-Cartan formalism in the calculus of variations.Ann. Inst. Fourier, Grenoble, 23 (1973), 203-267. MR 0341531, 10.5802/aif.451 |
| Reference:
|
[3] R. Hermann: Geometry, Physics and Systems.Dekker, New York, 1973. Zbl 0285.58001, MR 0494183 |
| Reference:
|
[4] I. Kolář: On the hamilton formalism in fibered manifolds.Scripta Fac. Sci. Nat. UJЕР Brunensis, Physica 3-4 (1975), 249-254. MR 0442978 |
| Reference:
|
[5] D. Krupka: A geometric theory of ordinary first order variational problems in fibred manifolds. I. Critical sections.J. Math. Anal. Appl. 49 (1975), 180-206. MR 0362397, 10.1016/0022-247X(75)90169-9 |
| Reference:
|
[6] D. Krupka: Some geometric aspects of variational problems in fibred manifolds.Folia Fac. Sci. Nat. Univ. Brunensis, XIV, 10, 1973. |
| Reference:
|
[7] Th. H. J. Lepage: Sur les champs géodésiques du Calcul des Variations.Bull. Acad. Roy. Belg. Cl. Sci. V, 22 (1936), 716-729, 1036-1046. Zbl 0016.26201 |
| Reference:
|
[8] J. Śniatycki: On the geometric structure of classical field theory in Lagrangian formulation.Proc. Cambridge Philos. Soc. 68 (1970), 475-484. MR 0261936 |
| . |
