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Generalized symplectic geometry as a covering theory for the Hamiltonian theories of classical particles and fields

  • Published:1996-10 Issue:2-3 Volume:20 Page:195-206
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Fulp R.O.,Lawson J.K.,Norris L.K.

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference13 articles.

1. Foundations of Mechanics;Abraham,1978

2. Geometric prequantization on the spin bundle based on n-symplectic geometry: The Dirac equation;Fulp;Internat. J. Theoret. Phys.,1994

3. A multisymplectic approach to the KdV equation;Gotay,1988

4. A multisymplectic framework for classical field theory and the calculus of variations, I: Covariant Hamiltonian formalism;Gotay,1991

5. Momentum Maps and Classical Relativistic Fields;Gotay,1994

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1. Polysymplectic reduction and the moduli space of flat connections;Journal of Physics A: Mathematical and Theoretical;2019-07-22

2. Invariant Lagrangians on the Vertically Adapted Linear Frame Bundle;Understanding Complex Systems;2011

3. A frame bundle generalization of multisymplectic momentum mappings;Reports on Mathematical Physics;2004-02

4. n-symplectic algebra of observables in covariant Lagrangian field theory;Journal of Mathematical Physics;2001-10

5. Precanonical quantum gravity: Quantization without the space-time decomposition;International Journal of Theoretical Physics;2001
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