| Title:
|
Invariant vector fields of Hamiltonians (English) |
| Author:
|
Dębecki, Jacek |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
295-300 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A complete classification of natural transformations of Hamiltonians into vector fields on symplectic manifolds is given herein. (English) |
| Keyword:
|
symplectic manifold |
| Keyword:
|
Hamiltonian lift |
| Keyword:
|
natural operator |
| MSC:
|
37J99 |
| MSC:
|
53C15 |
| MSC:
|
58F05 |
| idZBL:
|
Zbl 0911.53016 |
| idMR:
|
MR1645328 |
| . |
| Date available:
|
2009-02-17T10:12:08Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107654 |
| . |
| Reference:
|
[1] Dȩbecki J., Gancarzewicz J., de León M., Mikulski W.: Invariants of Lagrangians and their calssifications.J. Math. Phys., Vol. 35, No. 9, 1994, pp. 4568–4593. MR 1290890 |
| Reference:
|
[2] Dȩbecki J.: Natural transformations of Lagrangians into $p$-forms on the tangent bundle; Quantization, Coherent States, and Complex Structures.Plenum Publishing Corp., New York, 1995, pp. 141–146. MR 1403155 |
| Reference:
|
[3] Doupovec M., Kurek J.: Natural operations of Hamiltonian type on the cotangent bundle.Suppl. Rend. Circ. Mat. Palermo, Serie II 34 (1995). |
| Reference:
|
[4] Kolář I., Michor P. W., Slovák J.: Natural Operations in Differential Geometry.Springer-Verlag, Berlin, 1993. MR 1202431 |
| Reference:
|
[5] de León M., Rodrigues P. R.: Methods of Differential Geometry in Analytical Mechanics.North-Holland Math. Ser., Vol. 152, Amsterdam, 1989. MR 1021489 |
| . |
