Skip to main content

The Euler-Lagrange resolution

  • 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
  • Conference paper
  • First Online:
Differential Geometrical Methods in Mathematical Physics

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dedecker, P., Sur un problème inverse du calcul des variations, Bull. Acad. Roy. Belgique, 36, 1950, p. 63–70.

    MathSciNet  MATH  Google Scholar 

  2. Dedecker, P., Applications of homological algebra to calculus of variations and mathematical physics, to appear.

    Google Scholar 

  3. Frölicher, A. and Nijenhuis, A., Theory of vector valued differential forms, Nederl. Akad. Wetensch., Proc., A 59, 1956, p. 338–359.

    Article  MATH  Google Scholar 

  4. Hughes, T.J.R. and Marsden, J.E., Some applications of geometry in continuum mechanics, Reports on Math. Phys., 12, 1977, p. 35–44.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kumpera, A., Invariants différentiels d'un pseudogroupe de Lie, I., J. Differential Geometry, 10, 1975, p. 289–345.

    MathSciNet  MATH  Google Scholar 

  6. Kupershmidt, B.A., The Lagrangian formalism in the calculus of variations, Func. Anal. Appl., 10, 1976, p. 147–149.

    Article  MathSciNet  Google Scholar 

  7. Mitchell, B., Theory of categories, Academic Press, 1965.

    Google Scholar 

  8. Takens, F., Symmetries, conservation laws and variational principles, Lecture Notes in Mathematics, 597, Springer-Verlag, 1977.

    Google Scholar 

  9. Tonti, E., Variational formulations of nonlinear differential equations, Acad. Roy. Belg. Bull., 55, 1969, p. 137–165.

    MathSciNet  MATH  Google Scholar 

  10. Tulczyjew, W.M., Sur la différentielle de Lagrange, C. R. Acad. Sc. Paris, 280, 1975, p. 1295–1298.

    MathSciNet  MATH  Google Scholar 

  11. Tulczyjew, W.M., The Lagrange differential, Bull. Acad. Polon. Sc., 24, 1976, p. 1089–1096.

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  13. Veinberg, M.M., Variational methods in the theory of nonlinear operators, Holden-Day, 1964.

    Google Scholar 

  14. Vinogradov, A.M., On the algebro-geometric foundations of Lagrangian field theory, Soviet Math. Dokl., 18, 1977, p. 1200–1204.

    MATH  Google Scholar 

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

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

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

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Tulczyjew, W.M. (1980). The Euler-Lagrange resolution. 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/BFb0089725

Download citation

  • DOI: https://doi.org/10.1007/BFb0089725

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10275-5

  • Online ISBN: 978-3-540-38405-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics