Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901196 | Reports on Mathematical Physics | 2006 | 25 Pages |
Abstract
In this paper we show that the classical symplectic stratification theorem of the reduced spaces of a canonical group action in a symplectic manifold can be obtained even in the absence of a momentum map by replacing this object by its natural generalization, the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino. In the process of proving this result we will provide a normal form for the cylinder valued momentum map.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics