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Poisson Reduction by Distributions

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Abstract

It is shown that the singular Poisson reduction procedure can be improved for a large class of situations. In addition, Poisson reduction of orbit type manifolds is carried out in detail.

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References

  1. Falceto, F., Zambon, M.: An extension of the Marsden–Ratiu reduction for Poisson manifolds (2008). arXiv:0806.0638

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Authors and Affiliations

  1. Section de Mathématiques and Bernoulli Center, Ecole Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland

    Madeleine Jotz & Tudor S. Ratiu

Authors
  1. Madeleine Jotz
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  2. Tudor S. Ratiu
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Correspondence to Tudor S. Ratiu.

Additional information

Partially supported by a Swiss NSF grant.

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Jotz, M., Ratiu, T.S. Poisson Reduction by Distributions. Lett Math Phys 87, 139–147 (2009). https://doi.org/10.1007/s11005-009-0295-6

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  • DOI: https://doi.org/10.1007/s11005-009-0295-6

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