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Geodesic fields in the calculus of variations of multiple integrals depending on derivatives of higher order

  • 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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Book cover Differential Geometrical Methods in Mathematical Physics

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

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References

  1. P.Dedecker-Calcul des Variations,Formes Differentielles et Champs Geodesiques,Colloques Internationales du CNRS, Strassbourg 1953.

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  2. P.Dedecker-On the generalization of symplectic geometry to multiple integrals in the calculus of variations, Lecture Notes in Mathematics 570,p.394–456.

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  3. H. Goldschmidt,S. Sternberg-The Hamilton-Cartan formalism in the calculus of variations,Ann.Inst.Fourier 23 1973 p.203–267.

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  4. S.Sternberg-Some preliminary remarks on the formal variational calculus of Gelfand and Dikki,Lecture Notes in Mathematics 670.

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  5. H. Weyl-Geodesic fields, Ann. of Math. 36 (1935), p.607–629.

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Authors and Affiliations

  1. Department of Mathematical Mathods of Physics, Warsaw, University, Poland

    T. Szapiro

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  1. T. Szapiro
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P. L. García A. Pérez-Rendón J. M. Souriau

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© 1980 Springer-Verlag

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Szapiro, T. (1980). Geodesic fields in the calculus of variations of multiple integrals depending on derivatives of higher order. 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/BFb0089762

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  • DOI: https://doi.org/10.1007/BFb0089762

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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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