| Title:
|
A note on bidifferential calculi and bihamiltonian systems (English) |
| Author:
|
Guha, Partha |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
17-22 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen. (English) |
| Keyword:
|
Frölicher-Nijenhuis |
| Keyword:
|
Lenard scheme |
| Keyword:
|
bidifferential calculi |
| MSC:
|
37J35 |
| MSC:
|
53D17 |
| idZBL:
|
Zbl 1110.37043 |
| idMR:
|
MR2054868 |
| . |
| Date available:
|
2008-06-06T22:42:43Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107886 |
| . |
| Reference:
|
[1] Crampin M., Sarlet W., Thompson G.: Bi-Differential Calculi and bi-Hamiltonian systems.J. Phys. A 33 (2000), 177–180. Zbl 0989.37063, MR 1767035 |
| Reference:
|
[2] Dimakis A., Müller–Hoissen F.: Bi-differential calculi and integrable models.J. Phys. A 33 (2000), 957-974. Zbl 1043.37508, MR 1748429 |
| Reference:
|
[3] Dimakis A., Müller-Hoissen F.: Bicomplex formulation and Moyal deformation of 2+1-dimensional Fordy-Kulish systems.nlin.SI/0008016, and the references therein. Zbl 1103.37309 |
| Reference:
|
[4] Magri F.: A simple model of the integrable Hamiltonian equation.J. Math. Phys. 19, No. 5 (1978), 1156–1162. MR 0488516 |
| Reference:
|
[5] Magri F.: Eight lectures on integrable systems.Integrability of nonlinear systems, Proceedings Pondicherry, 1996, Edited by Y. Kosmann-Schwarzbach et. al., Lecture Notes in Phys. 495, Springer, Berlin, 1997, 256–296,. MR 1636296 |
| Reference:
|
[6] Michor P.: A generalization of Hamiltonian mechanics.J. Geom. Phys. 2, No. 2 (1985), 67–82. Zbl 0587.58004, MR 0845468 |
| . |
