A note on bidifferential calculi and bihamiltonian systems

Partha Guha

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 1, page 17-22
  • ISSN: 0044-8753

Abstract

top
In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.

How to cite

top

Guha, Partha. "A note on bidifferential calculi and bihamiltonian systems." Archivum Mathematicum 040.1 (2004): 17-22. <http://eudml.org/doc/249312>.

@article{Guha2004,
abstract = {In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.},
author = {Guha, Partha},
journal = {Archivum Mathematicum},
keywords = {Frölicher-Nijenhuis; Lenard scheme; bidifferential calculi; Frölicher-Nijenhuis bracket; Lenard scheme},
language = {eng},
number = {1},
pages = {17-22},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on bidifferential calculi and bihamiltonian systems},
url = {http://eudml.org/doc/249312},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Guha, Partha
TI - A note on bidifferential calculi and bihamiltonian systems
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 1
SP - 17
EP - 22
AB - In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.
LA - eng
KW - Frölicher-Nijenhuis; Lenard scheme; bidifferential calculi; Frölicher-Nijenhuis bracket; Lenard scheme
UR - http://eudml.org/doc/249312
ER -

References

top
  1. Crampin M., Sarlet W., Thompson G., Bi-Differential Calculi and bi-Hamiltonian systems, J. Phys. A 33 (2000), 177–180. Zbl0989.37063MR1767035
  2. Dimakis A., Müller–Hoissen F., Bi-differential calculi and integrable models, J. Phys. A 33 (2000), 957-974. Zbl1043.37508MR1748429
  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. Zbl1103.37309
  4. Magri F., A simple model of the integrable Hamiltonian equation, J. Math. Phys. 19, No. 5 (1978), 1156–1162. (19,) MR0488516
  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,. (1996) MR1636296
  6. Michor P., A generalization of Hamiltonian mechanics, J. Geom. Phys. 2, No. 2 (1985), 67–82. (1985) Zbl0587.58004MR0845468

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.