ISSN:
1573-0530
Keywords:
Poisson manifold
;
reduction
;
symmetry
;
singularity
;
stratification
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The conditions under which it is possible to reduce a Poisson manifold via a regular foliation have been completely characterized by Marsden and Ratiu. In this Letter we show that this characterization can be generalized in a natural way to the singular case and, as a corollary, we obtain that when the singular distribution is given by the tangent spaces to the orbits created by a Hamiltonian Lie group action, one reproduces the Universal Reduction Procedure of Arms, Cushman, and Gotay.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007581632544
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