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Equivalence of one dimensional Lagrangian field theories in the plane I

  • Robert B. Gardner
  • William F. Shadwick
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1156)

Keywords

Group Reduction Equivalence Problem Exterior Derivative Contact Transformation Intrinsic Calculation 
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Bibliography

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    Cartan, Élie Les Espaces Métriques Fondés sur la Notion d'Aire Hermann, Paris, 1933.zbMATHGoogle Scholar
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    "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.57–194Google Scholar
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    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.Google Scholar
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    personal communication November, 1984.Google Scholar
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    De Donder, Th. "Théorie invariantive du calcul des variations", Bull. Acad. de Belg. 1929, chapter 1.Google Scholar
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    Gardner, Robert "Differential Geometric Methods Interfacing Control Theory" in Differential Geometric Control Theory, Ed. Brockett et al., Birkhäuser, N.Y., (1983) pp. 117–180.Google Scholar
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    Weyl, Hermann "Cartan on Groups and Differential Geometry" Bull. A.M.S. (1938), pp. 598–601.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Robert B. Gardner
    • 1
    • 2
  • William F. Shadwick
    • 1
    • 2
  1. 1.University of North CarolinaChapel Hill
  2. 2.University of WaterlooWaterloo

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