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New geometrical dynamics

  • Chapter IV. Symplectic Structures — Mechanics
  • Conference paper
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Differential Geometrical Methods in Mathematical Physics

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

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References

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

    MathSciNet  Google Scholar 

  2. P.A. Dirac Canad J. of Math 2 (1950), 129–148; Lectures on quantum Mechanics Yeshiva Univ. New York 1964

    Article  MathSciNet  Google Scholar 

  3. M. Flato, A. Lichnerowicz and D. Sternheimer C.R. Acad Sci. Paris A 279 (1974), 877–881. Déformations 1-differentiables des algèbres de Lie attachées à une variété symplectique ou de contact Compos. Math. 1975 (to appear)

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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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  5. A. Lichnerowicz C.R. Acad. Sc. Paris A 277 (1973), 215–220; J. de Math. pures et appl. 53 (1974), 459–484

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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

    MathSciNet  Google Scholar 

  7. A. Nijenhuis Indag. Math. 17 (1955), 390–403

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  8. M. Gerstenhaber Ann. of Math. 79 (1964), 59–103

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  9. A. Lichnerowicz C.R. Acad. Sc. Paris A 280 (1975), 523–527; variétés de Poisson; J. of Diff. Geom. (to appear)

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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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Author information

Authors and Affiliations

  1. Collège de France, Paris

    André Lichnerowicz

Authors
  1. André Lichnerowicz
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Konrad Bleuler Axel Reetz

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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

  • eBook Packages: Springer Book Archive

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