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A new symplectic structure of field theory

  • Part I Proceedings Of The International Colloquium Of The C.N.R.S. Held At Aix-en-Provence, September 3–7, 1979 Edited By J.M. Souriau
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Differential Geometrical Methods in Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 836))

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References

  1. Chernoff P.R., Marsden J.E.: Properties of infinite dimensional hamiltonian systems; Springer Lecture Notes in Math., vol. 425

    Google Scholar 

  2. Dedecker P.: Calcul des variations, formes differentielles et champs geodesiques; In: Coll. internat. du C.N.R.S. Strassbourg 1953

    Google Scholar 

  3. Dedecker P.: On the generalization of symplectic geometry to multiple integrals in the calculus of variations; In: Diff. Geom. Methods in Math. Phys., Springer Lecture Notes in Math., vol. 570

    Google Scholar 

  4. Kijowski J.: Comm. Math. Phys. 30 /1973/ p. 99

    Article  MathSciNet  Google Scholar 

  5. Kijowski J.: Bull. Acad. Polon. Sci /math., astr., phys./ 22 /1974/ p. 1219

    MathSciNet  Google Scholar 

  6. Kijowski J.: G.R.G. Journal, 9 /1978/ p. 857

    Article  MathSciNet  Google Scholar 

  7. Kijowski J., Szczyrba W.: Comm. Math. Phys. 46 /1976/ p. 183

    Article  MathSciNet  Google Scholar 

  8. Kijowski J., Tulczyjew W. M.: A symplectic framework for field theories; Springer Lecture Notes in Physics, vol. 107

    Google Scholar 

  9. Kijowski J., Pawlik B., Tulczyjew W.M.: A variational formulation of non-gravitating and gravitating hydrodynamics; Bull. Acad. Polon. Sci. /in print/

    Google Scholar 

  10. Tulczyjew W. M.: Seminar on Phase Spaces, Warsaw 1968 /unpublished/

    Google Scholar 

  11. Tulczyjew W. M.: Symposia Math. 14 /1974/ p. 247

    MathSciNet  Google Scholar 

  12. Tulczyjew W. M.: Ann. Inst. H. Poincare 27 A /1977/ p. 101

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematical Methods in Physics, University of Warsaw, ul. Hoża 74, 00 - 682, Warszawa, Poland

    Jerzy Kijowski

Authors
  1. Jerzy Kijowski
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P. L. García A. Pérez-Rendón J. M. Souriau

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© 1980 Springer-Verlag

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Kijowski, J. (1980). A new symplectic structure of field theory. In: García, P.L., Pérez-Rendón, A., Souriau, J.M. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089735

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  • DOI: https://doi.org/10.1007/BFb0089735

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10275-5

  • Online ISBN: 978-3-540-38405-2

  • eBook Packages: Springer Book Archive

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