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Equivalence of one dimensional Lagrangian field theories in the plane I

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Book cover Global Differential Geometry and Global Analysis 1984

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1156))

Research supported in part by NATO Grant 0546/82 and NSERC Grants T2100 and U0172.

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Bibliography

  1. Cartan, Élie Les Espaces Métriques Fondés sur la Notion d'Aire Hermann, Paris, 1933.

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  2. Notice sur les travaux scientifiques Gauthier-Villars, Paris, 1974.

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  3. "Espaces Generalisés" Actualites Scientifques et Industrielles No. 194, Hermann, Paris, 1935 "les sous-groupes des groupes continus de transformations" Ann. Éc. Normale, t.25, 1908, p.57–194

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  4. Debever, Robert "Sur un probleme d'équivalence et son application a la théorie des espaces métriques fondés sur la notion d'aire", Comptes Rendus de l'A.F.A.S. October 1945, Paris, pp. 83–84.

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  5. personal communication November, 1984.

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  6. De Donder, Th. "Théorie invariantive du calcul des variations", Bull. Acad. de Belg. 1929, chapter 1.

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  7. Gardner, Robert "Differential Geometric Methods Interfacing Control Theory" in Differential Geometric Control Theory, Ed. Brockett et al., Birkhäuser, N.Y., (1983) pp. 117–180.

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  8. Weyl, Hermann "Cartan on Groups and Differential Geometry" Bull. A.M.S. (1938), pp. 598–601.

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Author information

Authors and Affiliations

  1. University of North Carolina, 27514, Chapel Hill, N.C.

    Robert B. Gardner & William F. Shadwick

  2. University of Waterloo, N2L 3G1, Waterloo, Ontario

    Robert B. Gardner & William F. Shadwick

Authors
  1. Robert B. Gardner
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  2. William F. Shadwick
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Editor information

Dirk Ferus Robert B. Gardner Sigurdur Helgason Udo Simon

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© 1985 Springer-Verlag

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Gardner, R.B., Shadwick, W.F. (1985). Equivalence of one dimensional Lagrangian field theories in the plane I. In: Ferus, D., Gardner, R.B., Helgason, S., Simon, U. (eds) Global Differential Geometry and Global Analysis 1984. Lecture Notes in Mathematics, vol 1156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075089

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  • DOI: https://doi.org/10.1007/BFb0075089

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15994-0

  • Online ISBN: 978-3-540-39698-7

  • eBook Packages: Springer Book Archive

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