Il Nuovo Cimento B (1971-1996)

, Volume 102, Issue 4, pp 437–440 | Cite as

On the Euler-Lagrange map in symplectic mechanics

  • F. Barone
  • R. Grassini
Note Brevi


The intrinsic relationship between symplectic and variational methods in classical mechanics is in investigated through a new approach to the theory of the Euler-Lagrange map.


PACS 03.20 Classical mechanics of discrete systems: general mathematical aspects 


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    R. Abraham andJ. E. Marsden:Foundations of Mechanics, 2nd edition (Benjamin/Cummings Publishing Company, Mass, 1978).MATHGoogle Scholar
  2. (2).
    A. Trautman:Invariance of Lagrangian Systems, in General Relativity, edited byL. O’Raifeartaigh (Clarendon Press, Oxford, 1972).Google Scholar
  3. (3).
    C. Godbillon:Géometrie Différentielle et Mécanique Analitique (Hermann, Paris, 1969).Google Scholar

Copyright information

© Società Italiana di Fisica 1988

Authors and Affiliations

  • F. Barone
    • 1
  • R. Grassini
    • 1
  1. 1.Dipartimento di Matematica ed Applicazioni dell’UniversitàNapoliItalia

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