Infinitesimal symplectic relations and generalized hamiltonian dynamics

Maria Rosa Menzio; W. M. Tulczyjew

Annales de l'I.H.P. Physique théorique (1978)

  • Volume: 28, Issue: 4, page 349-367
  • ISSN: 0246-0211

How to cite

top

Menzio, Maria Rosa, and Tulczyjew, W. M.. "Infinitesimal symplectic relations and generalized hamiltonian dynamics." Annales de l'I.H.P. Physique théorique 28.4 (1978): 349-367. <http://eudml.org/doc/75985>.

@article{Menzio1978,
author = {Menzio, Maria Rosa, Tulczyjew, W. M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Hamiltonian Mechanics; Symplectic Geometry; Constrained Systems; Manifolds; Hamiltonian Function},
language = {eng},
number = {4},
pages = {349-367},
publisher = {Gauthier-Villars},
title = {Infinitesimal symplectic relations and generalized hamiltonian dynamics},
url = {http://eudml.org/doc/75985},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Menzio, Maria Rosa
AU - Tulczyjew, W. M.
TI - Infinitesimal symplectic relations and generalized hamiltonian dynamics
JO - Annales de l'I.H.P. Physique théorique
PY - 1978
PB - Gauthier-Villars
VL - 28
IS - 4
SP - 349
EP - 367
LA - eng
KW - Hamiltonian Mechanics; Symplectic Geometry; Constrained Systems; Manifolds; Hamiltonian Function
UR - http://eudml.org/doc/75985
ER -

References

top
  1. [1] A. Abraham and J.E. Marsden, Foundations of Mechanics, Benjamin, New York, 1967. Zbl0158.42901
  2. [2] J. Dieudonné, Treatise on Analysis V. III, Academic Press, New York and London, 1972. Zbl0268.58001MR350769
  3. [3] P.A.M. Dirac, Canad. J. Math., t. 2, 1950, p. 129-148. Zbl0036.14104MR43724
  4. [4] A. Lichnerowicz, C. R. Acad. Sci. Paris, Sér. A, t. 280, 1975, p. 37-40. Zbl0312.53030MR372922
  5. [5] A. Lichnerowicz, C. R. Acad. Sci. Paris, Sér. A, t. 280, 1975, p. 523-527. Zbl0315.70016MR405503
  6. [6] J.A. Schouten, Ricci Calculus, Springer-Verlag, Berlin, 1954. Zbl0057.37803MR516659
  7. [7] J. Sniatycki, Ann. Inst. Henri Poincaré, t. 20, 1974, p. 365-372. Zbl0295.70010MR358860
  8. [8] J. Sniatycki and W.M. Tulczyjew, Ann. Inst. Henri Poincaré, t. 14, 1971, p. 177-187. MR297309
  9. [9] R.J. Torrence and W.M. Tulczyjew, J. Math. Phys., t. 14, 1973, p. 1725-1732. MR332095
  10. [10] W.M. Tulczyjew, Bull. Acad. Polon. Sci., t. 22, 1974, p. 931-935. Zbl0303.53015MR397790
  11. [11] A. Weinstein, Lectures on Symplectic Manifolds, CBMS Regional Conference, University of North Carolina, March 1976. Zbl0406.53031MR464312

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.