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Reduction by Stages via Symplectic Distributions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1913)

In the remaining two chapters of this part we are going to take a different technical approach to the reduction by stages problem. It will be mainly based on thinking of the (connected components of the) level sets of the various momentum maps in the setup as the accessible sets of a distribution that we will introduce in the following paragraphs. This point of view has been exploited in Ortega [2002] and Ortega and Ratiu [2002, 2004a] in the context of the so-called optimal momentum map.

Keywords

  • Generalize Distribution
  • Symplectic Manifold
  • Isotropy Subgroup
  • Integral Manifold
  • Integral Submanifold

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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© 2007 Springer-Verlag Berlin Heidelberg

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(2007). Reduction by Stages via Symplectic Distributions. In: Hamiltonian Reduction by Stages. Lecture Notes in Mathematics, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72470-4_11

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