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New geometrical dynamics

Chapter IV. Symplectic Structures — Mechanics

Part of the Lecture Notes in Mathematics book series (LNM,volume 570)

Keywords

  • Symplectic Manifold
  • Integral Curve
  • Contact Structure
  • Canonical Transformation
  • Poisson Manifold

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References

  1. A. Avez, A. Lichnerowicz and A. Diaz-Miranda J. of Diff. Geom. 9 (1974), 1–40

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  4. M. Flato, A. Lichnerowicz and D. Sternheimer Algèbres de Lie attachées à une variété canonique J. Math. mures et appl. (1975) (to appear)

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  6. A. Lichnerowicz C. R. Acad. Sc. Paris A 280 (1975), 37–40; variétés symplectiques, variétés canoniques et systèmes dynamiques oct. 1974; vol in memory of E.T. Davies (to appear); C.R. Acad. Sc. Paris A 280 (1975), 1217–1220

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  10. I. Segal Symplectic structures and the quantization problem for wave equations. Conf. on symplectic geometry, 1st. di Alta Matematica, Rome January 1973

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© 1977 Springer-Verlag

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Lichnerowicz, A. (1977). New geometrical dynamics. In: Bleuler, K., Reetz, A. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087793

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  • DOI: https://doi.org/10.1007/BFb0087793

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08068-8

  • Online ISBN: 978-3-540-37498-5

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