| Title:
|
On a class of variational problems defined by polynomial Lagrangians (English) |
| Author:
|
Krupka, Demeter |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
12 |
| Issue:
|
2 |
| Year:
|
1976 |
| Pages:
|
99-105 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49Q99 |
| MSC:
|
58A15 |
| MSC:
|
58C99 |
| idZBL:
|
Zbl 0386.49028 |
| idMR:
|
MR0426039 |
| . |
| Date available:
|
2008-06-06T06:02:06Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106934 |
| . |
| Reference:
|
[1] R. Hermann: Differential geometry and the calculus of variations.New York (1968). Zbl 0219.49023, MR 0233313 |
| Reference:
|
[2] R. Hermann: Geometry, physics and systems.New York (1973). Zbl 0285.58001, MR 0494183 |
| Reference:
|
[3] D. Krupka: Lagrange theory in fibred manifolds.Rep. Math. Phys. 2 (1971), 121-133. MR 0287582 |
| Reference:
|
[4] D. Krupka: On generalized invariant transformations.Rep. Math. Phys. 5 (1974), 355-360. Zbl 0305.49050, MR 0423411 |
| Reference:
|
[5] D. Krupka: A geometric theory of ordinary first order variational problems in fibered manifold. I. Critical sections.J. Math. Anal. Appl. 49 (1975), 180-206. MR 0362397 |
| Reference:
|
[6] Th. H. J. Lepage: Sur les champs géodésiques du Calcul des Variations.Bull. Acad. Roy. Belg., Cl. Sci. V, Sér. 22 (1936), 716, 1036. Zbl 0016.26201 |
| Reference:
|
[7] R. S. Palais: Manifolds of sections of fiber bundles and the calculus of variations.in "Nonlinear Functional Analysis," Proc Sympos. Pure Math., Vol. XVIII, Part 1, Chicago, III., 1968, pp. 195-205, Providence RI, 1970. MR 0271973 |
| Reference:
|
[8] J. Śniatycki: On the geometric structure of classical field theory in Lagrangian formulation.Proc. Camb. Phil. Soc. (1970), 68, 475-484. MR 0261936 |
| Reference:
|
[9] A. Trautman: Invariance of Lagrangian systems.in "General Relativity", papers in honour of J. L. Synge, Oxford (1972). Zbl 0273.58004, MR 0503424 |
| . |
