ISSN:
1573-0530
Schlagwort(e):
Poisson manifold
;
reduction
;
symmetry
;
singularity
;
stratification
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
,
Physik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1007581632544
Permalink