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Reducibility of the symplectic structure of classical fields with gauge-symmetry

  • Pedro L. García
Chapter III. Connections — Gauge Theories
Part of the Lecture Notes in Mathematics book series (LNM, volume 570)

Keywords

Vector Field Vector Bundle Symplectic Structure Principal Bundle Classical Field 
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References

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    P. Chernoff and J. Marsden. Properties of Infinite Dimensional Hamiltonian Systems, Lecture Notes in Mathematics. Springer-Verlag (1974)Google Scholar
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    P. Dedecker. Calculus of Variations, formes differentielles et champs geodesiques, Colloque International de Geometrie Differentielle, Strasbourg (1953).Google Scholar
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    P. García. The Poincaré-Cartán Invariant in the Calculus of Variations, Symposia Mathematica, vol. 14 (1974).Google Scholar
  4. 4.
    P. García. Gauge Algebras, Curvature and Symplectic Structure (to appear).Google Scholar
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    H. Goldschmidt and S. Sternberg. The Hamilton-Cartán Formalism in the Calculus of Variations, Ann. Inst. Fourier, 23, (1973).Google Scholar
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    A. Pérez-Rendón. A Minimal Interaction Principle for Classical Fields, Symposia Mathematica, Vol. 14 (1974).Google Scholar
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    I. Segal. La varieté des solutions d'une équation hyperbolique non-linéare d'ordre 2, Collège de France, París (1964).Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Pedro L. García
    • 1
  1. 1.Departmento de MatemáticasUniversidad de SalamancaSpain

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