| Title:
|
On the higher order Poincaré-Cartan forms (English) |
| Author:
|
Horák, Michal |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
467-475 |
| . |
| Category:
|
math |
| . |
| MSC:
|
58A20 |
| MSC:
|
58F05 |
| MSC:
|
70H25 |
| idZBL:
|
Zbl 0545.58004 |
| idMR:
|
MR718929 |
| DOI:
|
10.21136/CMJ.1983.101896 |
| . |
| Date available:
|
2008-06-09T14:55:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101896 |
| . |
| Reference:
|
[1] P. L. Garcia: The Poincaré-Cartan invariant in the calculus of variations.Istituto Nazionale di Alta Matematica, Symposia Matematica XIV, Roma 1974, 219-246. Zbl 0303.53040, MR 0406246 |
| Reference:
|
[2] H. Goldschmidt S. Sternberg: The Hamilton formalism in the calculus of variations.Ann. Inst. Fourier (Grenoble), 23 (1973), 203-267. MR 0341531, 10.5802/aif.451 |
| Reference:
|
[3] I. Kolář: On the Hamilton formalism in fibered manifolds.Scripta Fac. Sci. Nat. UJEP Brunensis, Physica 3-4, 5 (1975), 249-254. MR 0442978 |
| Reference:
|
[4] I. Kolář: Lie derivatives and higher order Lagrangians.Proceedings of the conference on differential geometry and its applications, Universita Karlova Praha 1982, 117-123. MR 0663219 |
| Reference:
|
[5] D. Krupka: Natural Lagrangian structures.to appear in Banach Center Publications, Warsaw. Zbl 0572.58007, MR 0961080 |
| Reference:
|
[6] R. Ragionieri R. Ricci: Hamiltonian formalism in the calculus of variations.Bolletino U.M.I. (5) 18-B (1981), 119-130. MR 0613378 |
| Reference:
|
[7] S. Sternberg: Lectures on differential geometry.Prentice-Hall, New Jersey, 1964. Zbl 0129.13102, MR 0193578 |
| Reference:
|
[8] A. Trautman: Invariance of Lagrangian systems. General Relativity.Papers in honour J. L. Synge, Clarendon Press, Oxford 1972, 85-99. MR 0503424 |
| Reference:
|
[9] M. Francaviglia D. Krupka: The Hamilton formalism in higher order variational problems.to appear in Ann. Inst. H. Poincaré. MR 0694590 |
| . |
