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Spectral sequences and the inverse problem of the calculus of variations

  • Part II Proceedings Of The Conference Held At Salamanca September 10 – 14, 1979 Edited By P.L. García And A. Pérez-Rendón
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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. I.M. Anderson and T. Duchamp, On the existence of global variational principles, preprint, University of Utah.

    Google Scholar 

  2. J.M. Bordman, Singularities of differentiable maps, Publ. I.H.E.S., 33, pp. 21–57, 1967.

    Article  MathSciNet  Google Scholar 

  3. P. Dedecker, Sur un problème inverse du calcul des variations, Bull. Acad. R. Belg. Sc., 36, pp. 63–70, 1950.

    MathSciNet  MATH  Google Scholar 

  4. P. Dedecker, On the generalization of symplectic geometry to multiple integrals in the calculus of variations, Symposium on differential geometric methods in mathematical physics, Lecture Notes in Mathematics, 570, pp. 395–456, Springer-Verlag, 1977.

    Google Scholar 

  5. G.W. Horndeski, Differential operators associated with the Euler-Lagrange operator, Tensor, 28, pp. 303–318, 1974.

    MathSciNet  MATH  Google Scholar 

  6. B.A. Kuperschmidt, Geometry of jet bundles and the structure of Lagrangian and Hamiltonian formalisms, preprint, M.I.T.

    Google Scholar 

  7. F. Takens, Symmetries, conservation laws and variational principles, Geometry and Topology: Proceedings of III Latin American School of Mathematics, Lecture Notes in Mathematics, 597, pp. 581–604, 1977.

    Article  MathSciNet  Google Scholar 

  8. E. Tonti, Variational formulations of nonlinear differential equations I, Acad. R. Belg. Bull. Cl. Sci. 55, pp. 137–165 and pp. 262–276, 1969.

    MathSciNet  MATH  Google Scholar 

  9. W.M. Tulczyjew, The Lagrange complex, Bull. Soc. math. France, 105, pp. 419–431, 1977.

    MathSciNet  MATH  Google Scholar 

  10. W.M. Tulczyjew, The Euler-Lagrange resolution, in this volume.

    Google Scholar 

  11. A.M. Vinogradov, A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints, Soviet Math. Dokl., 19, pp. 144–148, 1978.

    MATH  Google Scholar 

  12. P. Dedecker, On applications of homological algebra to Calculus of Variations and Mathematical Physics, Proceedings of the IVth International Colloquium on Differential Geometry, September 1978, Universidad de Santiago de Compostela, 1979.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut de Mathématique, Université Catholique de Louvain, Chemin du Cyclotron 2, B-1348, Louvain-la-Neuve

    P. Dedecker & W. M. Tulczyjew

Authors
  1. P. Dedecker
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  2. W. M. Tulczyjew
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Editor information

P. L. García A. Pérez-Rendón J. M. Souriau

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© 1980 Springer-Verlag

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Dedecker, P., Tulczyjew, W.M. (1980). Spectral sequences and the inverse problem of the calculus of variations. 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/BFb0089761

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  • DOI: https://doi.org/10.1007/BFb0089761

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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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