On the geometry of reduced cotangent bundles at zero momentum

Details On the geometry of reduced cotangent bundles at zero momentum On the geometry of reduced cotangent bundles at zero momentum

2003-10-28

arxiv.org/abs/math/0310437v2

Journal of Geometry and Physics. 57 (2007) 571-596.

Mathematics

Symplectic Geometry

38 pages, 1 figure

Scientific paper

We consider the problem of cotangent bundle reduction for non free group actions at zero momentum. We show that in this context the symplectic stratification obtained by Sjamaar and Lerman refines in two ways: (i) each symplectic stratum admits a stratification which we call the secondary stratification with two distinct types of pieces, one of which is open and dense and symplectomorphic to a cotangent bundle; (ii) the reduced space at zero momentum admits a finer stratification than the symplectic one into pieces that are coisotropic in their respective symplectic strata.

Affiliated with

Also associated with

No associations

Rating

On the geometry of reduced cotangent bundles at zero momentum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the geometry of reduced cotangent bundles at zero momentum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the geometry of reduced cotangent bundles at zero momentum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-137202