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On the Euler-Lagrange map in symplectic mechanics

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Il Nuovo Cimento B (1971-1996)

Summary

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.

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References

  1. R. Abraham andJ. E. Marsden:Foundations of Mechanics, 2nd edition (Benjamin/Cummings Publishing Company, Mass, 1978).

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  2. A. Trautman:Invariance of Lagrangian Systems, in General Relativity, edited byL. O’Raifeartaigh (Clarendon Press, Oxford, 1972).

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  3. C. Godbillon:Géometrie Différentielle et Mécanique Analitique (Hermann, Paris, 1969).

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Author notes

  1. F. Barone & R. Grassini

    Present address: Dipartimento di Matematica ed Applicazioni dell’Università, Via Mezzocannone 8, Napoli, Italia

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    1. F. Barone
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    2. R. Grassini
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    Barone, F., Grassini, R. On the Euler-Lagrange map in symplectic mechanics. Nuov Cim B 102, 437–440 (1988). https://doi.org/10.1007/BF02728515

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    • DOI: https://doi.org/10.1007/BF02728515

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