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Generalized constraint algorithm and special presymplectic manifolds

Part of the Lecture Notes in Mathematics book series (LNM,volume 775)

Abstract

A generalized constraint algorithm is developed which provides necessary and sufficient conditions for the solvability of the canonical equations of motion associated to presymplectic classical systems. This constraint algorithm is combined with a presymplectic extension of Tulczjew's description of constrained dynamical systems in terms of special symplectic manifolds. The resultant theory provides a unified geometric description as well as a complete solution of the problems of constrained and a priori presymplectic classical systems in both the finite and infinite dimensional cases.

Keywords

  • Symplectic Manifold
  • Cotangent Bundle
  • Legendre Transformation
  • Canonical System
  • Canonical Equation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes and References

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© 1980 Springer-Verlag

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Gotay, M.J., Nester, J.M. (1980). Generalized constraint algorithm and special presymplectic manifolds. In: Kaiser, G., Marsden, J.E. (eds) Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 775. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092022

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  • DOI: https://doi.org/10.1007/BFb0092022

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09742-6

  • Online ISBN: 978-3-540-38571-4

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