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Invariant forms and Hamiltonian systems: A geometrical setting

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Abstract

A geometric proof is given of Lee Hwa Chung's theorem for regular Hamiltonian systems, which identifies all the possible differential forms left invariant by the dynamics. Applications of this theorem in the area of canonical transformations are also remarked in a purely geometrical context.

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Authors and Affiliations

  1. Departament de Física Fonamental, Facultat Física, Universitat de Barcelona, 08028, Barcelona, Spain

    Josep Llosa

  2. Departamento de Física e Ingeniería Nuclear, ETSEIB, Universitat Politécnica de Catalunya, 08028, Barcelona, Spain

    Narciso Román Roy

Authors
  1. Josep Llosa
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  2. Narciso Román Roy
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Llosa, J., Roy, N.R. Invariant forms and Hamiltonian systems: A geometrical setting. Int J Theor Phys 27, 1533–1543 (1988). https://doi.org/10.1007/BF00669290

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  • DOI: https://doi.org/10.1007/BF00669290

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