Full paper in PDF:
$% S. Hochgerner and A.
Rainer, Singular Poisson reduction of cotangent bundles, Rev. Mat. Complut. 19 (2006), no. 2,
431–466.%$
ABSTRACT
We consider the Poisson reduced space , where the action of the compact Lie group on the configuration manifold is of single orbit type and is cotangent lifted to . Realizing as a Weinstein space we determine the induced Poisson structure and its symplectic leaves. We thus extend the Weinstein construction for principal fiber bundles to the case of surjective Riemannian submersions which are of single orbit type.
Key words: cotangent bundle reduction, singular reduction, Poisson structures.
2000 Mathematics Subject Classication: 53D17, 53D20.